Diff for /imach/src/imach.c between versions 1.48 and 1.200

version 1.48, 2002/06/10 13:12:49 version 1.200, 2015/09/09 16:53:55
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain    $State$
     $Log$
   Short summary of the programme:    Revision 1.200  2015/09/09 16:53:55  brouard
      Summary: Big bug thanks to Flavia
   This program computes Healthy Life Expectancies from  
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    Even model=1+age+V2. did not work anymore
   first survey ("cross") where individuals from different ages are  
   interviewed on their health status or degree of disability (in the    Revision 1.199  2015/09/07 14:09:23  brouard
   case of a health survey which is our main interest) -2- at least a    Summary: 0.98q6 changing default small png format for graph to vectorized svg.
   second wave of interviews ("longitudinal") which measure each change  
   (if any) in individual health status.  Health expectancies are    Revision 1.198  2015/09/03 07:14:39  brouard
   computed from the time spent in each health state according to a    Summary: 0.98q5 Flavia
   model. More health states you consider, more time is necessary to reach the  
   Maximum Likelihood of the parameters involved in the model.  The    Revision 1.197  2015/09/01 18:24:39  brouard
   simplest model is the multinomial logistic model where pij is the    *** empty log message ***
   probability to be observed in state j at the second wave  
   conditional to be observed in state i at the first wave. Therefore    Revision 1.196  2015/08/18 23:17:52  brouard
   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where    Summary: 0.98q5
   'age' is age and 'sex' is a covariate. If you want to have a more  
   complex model than "constant and age", you should modify the program    Revision 1.195  2015/08/18 16:28:39  brouard
   where the markup *Covariates have to be included here again* invites    Summary: Adding a hack for testing purpose
   you to do it.  More covariates you add, slower the  
   convergence.    After reading the title, ftol and model lines, if the comment line has
     a q, starting with #q, the answer at the end of the run is quit. It
   The advantage of this computer programme, compared to a simple    permits to run test files in batch with ctest. The former workaround was
   multinomial logistic model, is clear when the delay between waves is not    $ echo q | imach foo.imach
   identical for each individual. Also, if a individual missed an  
   intermediate interview, the information is lost, but taken into    Revision 1.194  2015/08/18 13:32:00  brouard
   account using an interpolation or extrapolation.      Summary:  Adding error when the covariance matrix doesn't contain the exact number of lines required by the model line.
   
   hPijx is the probability to be observed in state i at age x+h    Revision 1.193  2015/08/04 07:17:42  brouard
   conditional to the observed state i at age x. The delay 'h' can be    Summary: 0.98q4
   split into an exact number (nh*stepm) of unobserved intermediate  
   states. This elementary transition (by month or quarter trimester,    Revision 1.192  2015/07/16 16:49:02  brouard
   semester or year) is model as a multinomial logistic.  The hPx    Summary: Fixing some outputs
   matrix is simply the matrix product of nh*stepm elementary matrices  
   and the contribution of each individual to the likelihood is simply    Revision 1.191  2015/07/14 10:00:33  brouard
   hPijx.    Summary: Some fixes
   
   Also this programme outputs the covariance matrix of the parameters but also    Revision 1.190  2015/05/05 08:51:13  brouard
   of the life expectancies. It also computes the prevalence limits.    Summary: Adding digits in output parameters (7 digits instead of 6)
    
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Fix 1+age+.
            Institut national d'études démographiques, Paris.  
   This software have been partly granted by Euro-REVES, a concerted action    Revision 1.189  2015/04/30 14:45:16  brouard
   from the European Union.    Summary: 0.98q2
   It is copyrighted identically to a GNU software product, ie programme and  
   software can be distributed freely for non commercial use. Latest version    Revision 1.188  2015/04/30 08:27:53  brouard
   can be accessed at http://euroreves.ined.fr/imach .    *** empty log message ***
   **********************************************************************/  
      Revision 1.187  2015/04/29 09:11:15  brouard
 #include <math.h>    *** empty log message ***
 #include <stdio.h>  
 #include <stdlib.h>    Revision 1.186  2015/04/23 12:01:52  brouard
 #include <unistd.h>    Summary: V1*age is working now, version 0.98q1
   
 #define MAXLINE 256    Some codes had been disabled in order to simplify and Vn*age was
 #define GNUPLOTPROGRAM "gnuplot"    working in the optimization phase, ie, giving correct MLE parameters,
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/    but, as usual, outputs were not correct and program core dumped.
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Revision 1.185  2015/03/11 13:26:42  brouard
 #define windows    Summary: Inclusion of compile and links command line for Intel Compiler
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Revision 1.184  2015/03/11 11:52:39  brouard
     Summary: Back from Windows 8. Intel Compiler
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    Revision 1.183  2015/03/10 20:34:32  brouard
     Summary: 0.98q0, trying with directest, mnbrak fixed
 #define NINTERVMAX 8  
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    We use directest instead of original Powell test; probably no
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    incidence on the results, but better justifications;
 #define NCOVMAX 8 /* Maximum number of covariates */    We fixed Numerical Recipes mnbrak routine which was wrong and gave
 #define MAXN 20000    wrong results.
 #define YEARM 12. /* Number of months per year */  
 #define AGESUP 130    Revision 1.182  2015/02/12 08:19:57  brouard
 #define AGEBASE 40    Summary: Trying to keep directest which seems simpler and more general
 #ifdef windows    Author: Nicolas Brouard
 #define DIRSEPARATOR '\\'  
 #else    Revision 1.181  2015/02/11 23:22:24  brouard
 #define DIRSEPARATOR '/'    Summary: Comments on Powell added
 #endif  
     Author:
 char version[80]="Imach version 0.8h, May 2002, INED-EUROREVES ";  
 int erreur; /* Error number */    Revision 1.180  2015/02/11 17:33:45  brouard
 int nvar;    Summary: Finishing move from main to function (hpijx and prevalence_limit)
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;  
 int npar=NPARMAX;    Revision 1.179  2015/01/04 09:57:06  brouard
 int nlstate=2; /* Number of live states */    Summary: back to OS/X
 int ndeath=1; /* Number of dead states */  
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    Revision 1.178  2015/01/04 09:35:48  brouard
 int popbased=0;    *** empty log message ***
   
 int *wav; /* Number of waves for this individuual 0 is possible */    Revision 1.177  2015/01/03 18:40:56  brouard
 int maxwav; /* Maxim number of waves */    Summary: Still testing ilc32 on OSX
 int jmin, jmax; /* min, max spacing between 2 waves */  
 int mle, weightopt;    Revision 1.176  2015/01/03 16:45:04  brouard
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    *** empty log message ***
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */  
 double jmean; /* Mean space between 2 waves */    Revision 1.175  2015/01/03 16:33:42  brouard
 double **oldm, **newm, **savm; /* Working pointers to matrices */    *** empty log message ***
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;    Revision 1.174  2015/01/03 16:15:49  brouard
 FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;    Summary: Still in cross-compilation
 FILE *fichtm; /* Html File */  
 FILE *ficreseij;    Revision 1.173  2015/01/03 12:06:26  brouard
 char filerese[FILENAMELENGTH];    Summary: trying to detect cross-compilation
 FILE  *ficresvij;  
 char fileresv[FILENAMELENGTH];    Revision 1.172  2014/12/27 12:07:47  brouard
 FILE  *ficresvpl;    Summary: Back from Visual Studio and Intel, options for compiling for Windows XP
 char fileresvpl[FILENAMELENGTH];  
 char title[MAXLINE];    Revision 1.171  2014/12/23 13:26:59  brouard
 char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];    Summary: Back from Visual C
 char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];  
     Still problem with utsname.h on Windows
 char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];  
     Revision 1.170  2014/12/23 11:17:12  brouard
 char filerest[FILENAMELENGTH];    Summary: Cleaning some \%% back to %%
 char fileregp[FILENAMELENGTH];  
 char popfile[FILENAMELENGTH];    The escape was mandatory for a specific compiler (which one?), but too many warnings.
   
 char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];    Revision 1.169  2014/12/22 23:08:31  brouard
     Summary: 0.98p
 #define NR_END 1  
 #define FREE_ARG char*    Outputs some informations on compiler used, OS etc. Testing on different platforms.
 #define FTOL 1.0e-10  
     Revision 1.168  2014/12/22 15:17:42  brouard
 #define NRANSI    Summary: update
 #define ITMAX 200  
     Revision 1.167  2014/12/22 13:50:56  brouard
 #define TOL 2.0e-4    Summary: Testing uname and compiler version and if compiled 32 or 64
   
 #define CGOLD 0.3819660    Testing on Linux 64
 #define ZEPS 1.0e-10  
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    Revision 1.166  2014/12/22 11:40:47  brouard
     *** empty log message ***
 #define GOLD 1.618034  
 #define GLIMIT 100.0    Revision 1.165  2014/12/16 11:20:36  brouard
 #define TINY 1.0e-20    Summary: After compiling on Visual C
   
 static double maxarg1,maxarg2;    * imach.c (Module): Merging 1.61 to 1.162
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))  
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    Revision 1.164  2014/12/16 10:52:11  brouard
      Summary: Merging with Visual C after suppressing some warnings for unused variables. Also fixing Saito's bug 0.98Xn
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  
 #define rint(a) floor(a+0.5)    * imach.c (Module): Merging 1.61 to 1.162
   
 static double sqrarg;    Revision 1.163  2014/12/16 10:30:11  brouard
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    * imach.c (Module): Merging 1.61 to 1.162
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  
     Revision 1.162  2014/09/25 11:43:39  brouard
 int imx;    Summary: temporary backup 0.99!
 int stepm;  
 /* Stepm, step in month: minimum step interpolation*/    Revision 1.1  2014/09/16 11:06:58  brouard
     Summary: With some code (wrong) for nlopt
 int estepm;  
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/    Author:
   
 int m,nb;    Revision 1.161  2014/09/15 20:41:41  brouard
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;    Summary: Problem with macro SQR on Intel compiler
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  
 double **pmmij, ***probs, ***mobaverage;    Revision 1.160  2014/09/02 09:24:05  brouard
 double dateintmean=0;    *** empty log message ***
   
 double *weight;    Revision 1.159  2014/09/01 10:34:10  brouard
 int **s; /* Status */    Summary: WIN32
 double *agedc, **covar, idx;    Author: Brouard
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;  
     Revision 1.158  2014/08/27 17:11:51  brouard
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    *** empty log message ***
 double ftolhess; /* Tolerance for computing hessian */  
     Revision 1.157  2014/08/27 16:26:55  brouard
 /**************** split *************************/    Summary: Preparing windows Visual studio version
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )    Author: Brouard
 {  
    char *s;                             /* pointer */    In order to compile on Visual studio, time.h is now correct and time_t
    int  l1, l2;                         /* length counters */    and tm struct should be used. difftime should be used but sometimes I
     just make the differences in raw time format (time(&now).
    l1 = strlen( path );                 /* length of path */    Trying to suppress #ifdef LINUX
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );    Add xdg-open for __linux in order to open default browser.
    s = strrchr( path,  DIRSEPARATOR );          /* find last / */  
    if ( s == NULL ) {                   /* no directory, so use current */    Revision 1.156  2014/08/25 20:10:10  brouard
 #if     defined(__bsd__)                /* get current working directory */    *** empty log message ***
       extern char       *getwd( );  
     Revision 1.155  2014/08/25 18:32:34  brouard
       if ( getwd( dirc ) == NULL ) {    Summary: New compile, minor changes
 #else    Author: Brouard
       extern char       *getcwd( );  
     Revision 1.154  2014/06/20 17:32:08  brouard
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {    Summary: Outputs now all graphs of convergence to period prevalence
 #endif  
          return( GLOCK_ERROR_GETCWD );    Revision 1.153  2014/06/20 16:45:46  brouard
       }    Summary: If 3 live state, convergence to period prevalence on same graph
       strcpy( name, path );             /* we've got it */    Author: Brouard
    } else {                             /* strip direcotry from path */  
       s++;                              /* after this, the filename */    Revision 1.152  2014/06/18 17:54:09  brouard
       l2 = strlen( s );                 /* length of filename */    Summary: open browser, use gnuplot on same dir than imach if not found in the path
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  
       strcpy( name, s );                /* save file name */    Revision 1.151  2014/06/18 16:43:30  brouard
       strncpy( dirc, path, l1 - l2 );   /* now the directory */    *** empty log message ***
       dirc[l1-l2] = 0;                  /* add zero */  
    }    Revision 1.150  2014/06/18 16:42:35  brouard
    l1 = strlen( dirc );                 /* length of directory */    Summary: If gnuplot is not in the path try on same directory than imach binary (OSX)
 #ifdef windows    Author: brouard
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }  
 #else    Revision 1.149  2014/06/18 15:51:14  brouard
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }    Summary: Some fixes in parameter files errors
 #endif    Author: Nicolas Brouard
    s = strrchr( name, '.' );            /* find last / */  
    s++;    Revision 1.148  2014/06/17 17:38:48  brouard
    strcpy(ext,s);                       /* save extension */    Summary: Nothing new
    l1= strlen( name);    Author: Brouard
    l2= strlen( s)+1;  
    strncpy( finame, name, l1-l2);    Just a new packaging for OS/X version 0.98nS
    finame[l1-l2]= 0;  
    return( 0 );                         /* we're done */    Revision 1.147  2014/06/16 10:33:11  brouard
 }    *** empty log message ***
   
     Revision 1.146  2014/06/16 10:20:28  brouard
 /******************************************/    Summary: Merge
     Author: Brouard
 void replace(char *s, char*t)  
 {    Merge, before building revised version.
   int i;  
   int lg=20;    Revision 1.145  2014/06/10 21:23:15  brouard
   i=0;    Summary: Debugging with valgrind
   lg=strlen(t);    Author: Nicolas Brouard
   for(i=0; i<= lg; i++) {  
     (s[i] = t[i]);    Lot of changes in order to output the results with some covariates
     if (t[i]== '\\') s[i]='/';    After the Edimburgh REVES conference 2014, it seems mandatory to
   }    improve the code.
 }    No more memory valgrind error but a lot has to be done in order to
     continue the work of splitting the code into subroutines.
 int nbocc(char *s, char occ)    Also, decodemodel has been improved. Tricode is still not
 {    optimal. nbcode should be improved. Documentation has been added in
   int i,j=0;    the source code.
   int lg=20;  
   i=0;    Revision 1.143  2014/01/26 09:45:38  brouard
   lg=strlen(s);    Summary: Version 0.98nR (to be improved, but gives same optimization results as 0.98k. Nice, promising
   for(i=0; i<= lg; i++) {  
   if  (s[i] == occ ) j++;    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   }    (Module): Version 0.98nR Running ok, but output format still only works for three covariates.
   return j;  
 }    Revision 1.142  2014/01/26 03:57:36  brouard
     Summary: gnuplot changed plot w l 1 has to be changed to plot w l lt 2
 void cutv(char *u,char *v, char*t, char occ)  
 {    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
   int i,lg,j,p=0;  
   i=0;    Revision 1.141  2014/01/26 02:42:01  brouard
   for(j=0; j<=strlen(t)-1; j++) {    * imach.c (Module): Trying to merge old staffs together while being at Tokyo. Not tested...
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;  
   }    Revision 1.140  2011/09/02 10:37:54  brouard
     Summary: times.h is ok with mingw32 now.
   lg=strlen(t);  
   for(j=0; j<p; j++) {    Revision 1.139  2010/06/14 07:50:17  brouard
     (u[j] = t[j]);    After the theft of my laptop, I probably lost some lines of codes which were not uploaded to the CVS tree.
   }    I remember having already fixed agemin agemax which are pointers now but not cvs saved.
      u[p]='\0';  
     Revision 1.138  2010/04/30 18:19:40  brouard
    for(j=0; j<= lg; j++) {    *** empty log message ***
     if (j>=(p+1))(v[j-p-1] = t[j]);  
   }    Revision 1.137  2010/04/29 18:11:38  brouard
 }    (Module): Checking covariates for more complex models
     than V1+V2. A lot of change to be done. Unstable.
 /********************** nrerror ********************/  
     Revision 1.136  2010/04/26 20:30:53  brouard
 void nrerror(char error_text[])    (Module): merging some libgsl code. Fixing computation
 {    of likelione (using inter/intrapolation if mle = 0) in order to
   fprintf(stderr,"ERREUR ...\n");    get same likelihood as if mle=1.
   fprintf(stderr,"%s\n",error_text);    Some cleaning of code and comments added.
   exit(1);  
 }    Revision 1.135  2009/10/29 15:33:14  brouard
 /*********************** vector *******************/    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
 double *vector(int nl, int nh)  
 {    Revision 1.134  2009/10/29 13:18:53  brouard
   double *v;    (Module): Now imach stops if date of birth, at least year of birth, is not given. Some cleaning of the code.
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));  
   if (!v) nrerror("allocation failure in vector");    Revision 1.133  2009/07/06 10:21:25  brouard
   return v-nl+NR_END;    just nforces
 }  
     Revision 1.132  2009/07/06 08:22:05  brouard
 /************************ free vector ******************/    Many tings
 void free_vector(double*v, int nl, int nh)  
 {    Revision 1.131  2009/06/20 16:22:47  brouard
   free((FREE_ARG)(v+nl-NR_END));    Some dimensions resccaled
 }  
     Revision 1.130  2009/05/26 06:44:34  brouard
 /************************ivector *******************************/    (Module): Max Covariate is now set to 20 instead of 8. A
 int *ivector(long nl,long nh)    lot of cleaning with variables initialized to 0. Trying to make
 {    V2+V3*age+V1+V4 strb=V3*age+V1+V4 working better.
   int *v;  
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    Revision 1.129  2007/08/31 13:49:27  lievre
   if (!v) nrerror("allocation failure in ivector");    Modification of the way of exiting when the covariate is not binary in order to see on the window the error message before exiting
   return v-nl+NR_END;  
 }    Revision 1.128  2006/06/30 13:02:05  brouard
     (Module): Clarifications on computing e.j
 /******************free ivector **************************/  
 void free_ivector(int *v, long nl, long nh)    Revision 1.127  2006/04/28 18:11:50  brouard
 {    (Module): Yes the sum of survivors was wrong since
   free((FREE_ARG)(v+nl-NR_END));    imach-114 because nhstepm was no more computed in the age
 }    loop. Now we define nhstepma in the age loop.
     (Module): In order to speed up (in case of numerous covariates) we
 /******************* imatrix *******************************/    compute health expectancies (without variances) in a first step
 int **imatrix(long nrl, long nrh, long ncl, long nch)    and then all the health expectancies with variances or standard
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    deviation (needs data from the Hessian matrices) which slows the
 {    computation.
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    In the future we should be able to stop the program is only health
   int **m;    expectancies and graph are needed without standard deviations.
    
   /* allocate pointers to rows */    Revision 1.126  2006/04/28 17:23:28  brouard
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    (Module): Yes the sum of survivors was wrong since
   if (!m) nrerror("allocation failure 1 in matrix()");    imach-114 because nhstepm was no more computed in the age
   m += NR_END;    loop. Now we define nhstepma in the age loop.
   m -= nrl;    Version 0.98h
    
      Revision 1.125  2006/04/04 15:20:31  lievre
   /* allocate rows and set pointers to them */    Errors in calculation of health expectancies. Age was not initialized.
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    Forecasting file added.
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  
   m[nrl] += NR_END;    Revision 1.124  2006/03/22 17:13:53  lievre
   m[nrl] -= ncl;    Parameters are printed with %lf instead of %f (more numbers after the comma).
      The log-likelihood is printed in the log file
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  
      Revision 1.123  2006/03/20 10:52:43  brouard
   /* return pointer to array of pointers to rows */    * imach.c (Module): <title> changed, corresponds to .htm file
   return m;    name. <head> headers where missing.
 }  
     * imach.c (Module): Weights can have a decimal point as for
 /****************** free_imatrix *************************/    English (a comma might work with a correct LC_NUMERIC environment,
 void free_imatrix(m,nrl,nrh,ncl,nch)    otherwise the weight is truncated).
       int **m;    Modification of warning when the covariates values are not 0 or
       long nch,ncl,nrh,nrl;    1.
      /* free an int matrix allocated by imatrix() */    Version 0.98g
 {  
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    Revision 1.122  2006/03/20 09:45:41  brouard
   free((FREE_ARG) (m+nrl-NR_END));    (Module): Weights can have a decimal point as for
 }    English (a comma might work with a correct LC_NUMERIC environment,
     otherwise the weight is truncated).
 /******************* matrix *******************************/    Modification of warning when the covariates values are not 0 or
 double **matrix(long nrl, long nrh, long ncl, long nch)    1.
 {    Version 0.98g
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  
   double **m;    Revision 1.121  2006/03/16 17:45:01  lievre
     * imach.c (Module): Comments concerning covariates added
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    * imach.c (Module): refinements in the computation of lli if
   m += NR_END;    status=-2 in order to have more reliable computation if stepm is
   m -= nrl;    not 1 month. Version 0.98f
   
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    Revision 1.120  2006/03/16 15:10:38  lievre
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    (Module): refinements in the computation of lli if
   m[nrl] += NR_END;    status=-2 in order to have more reliable computation if stepm is
   m[nrl] -= ncl;    not 1 month. Version 0.98f
   
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    Revision 1.119  2006/03/15 17:42:26  brouard
   return m;    (Module): Bug if status = -2, the loglikelihood was
 }    computed as likelihood omitting the logarithm. Version O.98e
   
 /*************************free matrix ************************/    Revision 1.118  2006/03/14 18:20:07  brouard
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    (Module): varevsij Comments added explaining the second
 {    table of variances if popbased=1 .
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
   free((FREE_ARG)(m+nrl-NR_END));    (Module): Function pstamp added
 }    (Module): Version 0.98d
   
 /******************* ma3x *******************************/    Revision 1.117  2006/03/14 17:16:22  brouard
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)    (Module): varevsij Comments added explaining the second
 {    table of variances if popbased=1 .
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    (Module): Covariances of eij, ekl added, graphs fixed, new html link.
   double ***m;    (Module): Function pstamp added
     (Module): Version 0.98d
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");    Revision 1.116  2006/03/06 10:29:27  brouard
   m += NR_END;    (Module): Variance-covariance wrong links and
   m -= nrl;    varian-covariance of ej. is needed (Saito).
   
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    Revision 1.115  2006/02/27 12:17:45  brouard
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    (Module): One freematrix added in mlikeli! 0.98c
   m[nrl] += NR_END;  
   m[nrl] -= ncl;    Revision 1.114  2006/02/26 12:57:58  brouard
     (Module): Some improvements in processing parameter
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    filename with strsep.
   
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    Revision 1.113  2006/02/24 14:20:24  brouard
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    (Module): Memory leaks checks with valgrind and:
   m[nrl][ncl] += NR_END;    datafile was not closed, some imatrix were not freed and on matrix
   m[nrl][ncl] -= nll;    allocation too.
   for (j=ncl+1; j<=nch; j++)  
     m[nrl][j]=m[nrl][j-1]+nlay;    Revision 1.112  2006/01/30 09:55:26  brouard
      (Module): Back to gnuplot.exe instead of wgnuplot.exe
   for (i=nrl+1; i<=nrh; i++) {  
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    Revision 1.111  2006/01/25 20:38:18  brouard
     for (j=ncl+1; j<=nch; j++)    (Module): Lots of cleaning and bugs added (Gompertz)
       m[i][j]=m[i][j-1]+nlay;    (Module): Comments can be added in data file. Missing date values
   }    can be a simple dot '.'.
   return m;  
 }    Revision 1.110  2006/01/25 00:51:50  brouard
     (Module): Lots of cleaning and bugs added (Gompertz)
 /*************************free ma3x ************************/  
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    Revision 1.109  2006/01/24 19:37:15  brouard
 {    (Module): Comments (lines starting with a #) are allowed in data.
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));  
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    Revision 1.108  2006/01/19 18:05:42  lievre
   free((FREE_ARG)(m+nrl-NR_END));    Gnuplot problem appeared...
 }    To be fixed
   
 /***************** f1dim *************************/    Revision 1.107  2006/01/19 16:20:37  brouard
 extern int ncom;    Test existence of gnuplot in imach path
 extern double *pcom,*xicom;  
 extern double (*nrfunc)(double []);    Revision 1.106  2006/01/19 13:24:36  brouard
      Some cleaning and links added in html output
 double f1dim(double x)  
 {    Revision 1.105  2006/01/05 20:23:19  lievre
   int j;    *** empty log message ***
   double f;  
   double *xt;    Revision 1.104  2005/09/30 16:11:43  lievre
      (Module): sump fixed, loop imx fixed, and simplifications.
   xt=vector(1,ncom);    (Module): If the status is missing at the last wave but we know
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    that the person is alive, then we can code his/her status as -2
   f=(*nrfunc)(xt);    (instead of missing=-1 in earlier versions) and his/her
   free_vector(xt,1,ncom);    contributions to the likelihood is 1 - Prob of dying from last
   return f;    health status (= 1-p13= p11+p12 in the easiest case of somebody in
 }    the healthy state at last known wave). Version is 0.98
   
 /*****************brent *************************/    Revision 1.103  2005/09/30 15:54:49  lievre
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    (Module): sump fixed, loop imx fixed, and simplifications.
 {  
   int iter;    Revision 1.102  2004/09/15 17:31:30  brouard
   double a,b,d,etemp;    Add the possibility to read data file including tab characters.
   double fu,fv,fw,fx;  
   double ftemp;    Revision 1.101  2004/09/15 10:38:38  brouard
   double p,q,r,tol1,tol2,u,v,w,x,xm;    Fix on curr_time
   double e=0.0;  
      Revision 1.100  2004/07/12 18:29:06  brouard
   a=(ax < cx ? ax : cx);    Add version for Mac OS X. Just define UNIX in Makefile
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;    Revision 1.99  2004/06/05 08:57:40  brouard
   fw=fv=fx=(*f)(x);    *** empty log message ***
   for (iter=1;iter<=ITMAX;iter++) {  
     xm=0.5*(a+b);    Revision 1.98  2004/05/16 15:05:56  brouard
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    New version 0.97 . First attempt to estimate force of mortality
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    directly from the data i.e. without the need of knowing the health
     printf(".");fflush(stdout);    state at each age, but using a Gompertz model: log u =a + b*age .
 #ifdef DEBUG    This is the basic analysis of mortality and should be done before any
     printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);    other analysis, in order to test if the mortality estimated from the
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */    cross-longitudinal survey is different from the mortality estimated
 #endif    from other sources like vital statistic data.
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){  
       *xmin=x;    The same imach parameter file can be used but the option for mle should be -3.
       return fx;  
     }    Agnès, who wrote this part of the code, tried to keep most of the
     ftemp=fu;    former routines in order to include the new code within the former code.
     if (fabs(e) > tol1) {  
       r=(x-w)*(fx-fv);    The output is very simple: only an estimate of the intercept and of
       q=(x-v)*(fx-fw);    the slope with 95% confident intervals.
       p=(x-v)*q-(x-w)*r;  
       q=2.0*(q-r);    Current limitations:
       if (q > 0.0) p = -p;    A) Even if you enter covariates, i.e. with the
       q=fabs(q);    model= V1+V2 equation for example, the programm does only estimate a unique global model without covariates.
       etemp=e;    B) There is no computation of Life Expectancy nor Life Table.
       e=d;  
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))    Revision 1.97  2004/02/20 13:25:42  lievre
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    Version 0.96d. Population forecasting command line is (temporarily)
       else {    suppressed.
         d=p/q;  
         u=x+d;    Revision 1.96  2003/07/15 15:38:55  brouard
         if (u-a < tol2 || b-u < tol2)    * imach.c (Repository): Errors in subdirf, 2, 3 while printing tmpout is
           d=SIGN(tol1,xm-x);    rewritten within the same printf. Workaround: many printfs.
       }  
     } else {    Revision 1.95  2003/07/08 07:54:34  brouard
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    * imach.c (Repository):
     }    (Repository): Using imachwizard code to output a more meaningful covariance
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    matrix (cov(a12,c31) instead of numbers.
     fu=(*f)(u);  
     if (fu <= fx) {    Revision 1.94  2003/06/27 13:00:02  brouard
       if (u >= x) a=x; else b=x;    Just cleaning
       SHFT(v,w,x,u)  
         SHFT(fv,fw,fx,fu)    Revision 1.93  2003/06/25 16:33:55  brouard
         } else {    (Module): On windows (cygwin) function asctime_r doesn't
           if (u < x) a=u; else b=u;    exist so I changed back to asctime which exists.
           if (fu <= fw || w == x) {    (Module): Version 0.96b
             v=w;  
             w=u;    Revision 1.92  2003/06/25 16:30:45  brouard
             fv=fw;    (Module): On windows (cygwin) function asctime_r doesn't
             fw=fu;    exist so I changed back to asctime which exists.
           } else if (fu <= fv || v == x || v == w) {  
             v=u;    Revision 1.91  2003/06/25 15:30:29  brouard
             fv=fu;    * imach.c (Repository): Duplicated warning errors corrected.
           }    (Repository): Elapsed time after each iteration is now output. It
         }    helps to forecast when convergence will be reached. Elapsed time
   }    is stamped in powell.  We created a new html file for the graphs
   nrerror("Too many iterations in brent");    concerning matrix of covariance. It has extension -cov.htm.
   *xmin=x;  
   return fx;    Revision 1.90  2003/06/24 12:34:15  brouard
 }    (Module): Some bugs corrected for windows. Also, when
     mle=-1 a template is output in file "or"mypar.txt with the design
 /****************** mnbrak ***********************/    of the covariance matrix to be input.
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    Revision 1.89  2003/06/24 12:30:52  brouard
             double (*func)(double))    (Module): Some bugs corrected for windows. Also, when
 {    mle=-1 a template is output in file "or"mypar.txt with the design
   double ulim,u,r,q, dum;    of the covariance matrix to be input.
   double fu;  
      Revision 1.88  2003/06/23 17:54:56  brouard
   *fa=(*func)(*ax);    * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
   *fb=(*func)(*bx);  
   if (*fb > *fa) {    Revision 1.87  2003/06/18 12:26:01  brouard
     SHFT(dum,*ax,*bx,dum)    Version 0.96
       SHFT(dum,*fb,*fa,dum)  
       }    Revision 1.86  2003/06/17 20:04:08  brouard
   *cx=(*bx)+GOLD*(*bx-*ax);    (Module): Change position of html and gnuplot routines and added
   *fc=(*func)(*cx);    routine fileappend.
   while (*fb > *fc) {  
     r=(*bx-*ax)*(*fb-*fc);    Revision 1.85  2003/06/17 13:12:43  brouard
     q=(*bx-*cx)*(*fb-*fa);    * imach.c (Repository): Check when date of death was earlier that
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/    current date of interview. It may happen when the death was just
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    prior to the death. In this case, dh was negative and likelihood
     ulim=(*bx)+GLIMIT*(*cx-*bx);    was wrong (infinity). We still send an "Error" but patch by
     if ((*bx-u)*(u-*cx) > 0.0) {    assuming that the date of death was just one stepm after the
       fu=(*func)(u);    interview.
     } else if ((*cx-u)*(u-ulim) > 0.0) {    (Repository): Because some people have very long ID (first column)
       fu=(*func)(u);    we changed int to long in num[] and we added a new lvector for
       if (fu < *fc) {    memory allocation. But we also truncated to 8 characters (left
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    truncation)
           SHFT(*fb,*fc,fu,(*func)(u))    (Repository): No more line truncation errors.
           }  
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    Revision 1.84  2003/06/13 21:44:43  brouard
       u=ulim;    * imach.c (Repository): Replace "freqsummary" at a correct
       fu=(*func)(u);    place. It differs from routine "prevalence" which may be called
     } else {    many times. Probs is memory consuming and must be used with
       u=(*cx)+GOLD*(*cx-*bx);    parcimony.
       fu=(*func)(u);    Version 0.95a3 (should output exactly the same maximization than 0.8a2)
     }  
     SHFT(*ax,*bx,*cx,u)    Revision 1.83  2003/06/10 13:39:11  lievre
       SHFT(*fa,*fb,*fc,fu)    *** empty log message ***
       }  
 }    Revision 1.82  2003/06/05 15:57:20  brouard
     Add log in  imach.c and  fullversion number is now printed.
 /*************** linmin ************************/  
   */
 int ncom;  /*
 double *pcom,*xicom;     Interpolated Markov Chain
 double (*nrfunc)(double []);  
      Short summary of the programme:
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))    
 {    This program computes Healthy Life Expectancies from
   double brent(double ax, double bx, double cx,    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
                double (*f)(double), double tol, double *xmin);    first survey ("cross") where individuals from different ages are
   double f1dim(double x);    interviewed on their health status or degree of disability (in the
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,    case of a health survey which is our main interest) -2- at least a
               double *fc, double (*func)(double));    second wave of interviews ("longitudinal") which measure each change
   int j;    (if any) in individual health status.  Health expectancies are
   double xx,xmin,bx,ax;    computed from the time spent in each health state according to a
   double fx,fb,fa;    model. More health states you consider, more time is necessary to reach the
      Maximum Likelihood of the parameters involved in the model.  The
   ncom=n;    simplest model is the multinomial logistic model where pij is the
   pcom=vector(1,n);    probability to be observed in state j at the second wave
   xicom=vector(1,n);    conditional to be observed in state i at the first wave. Therefore
   nrfunc=func;    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
   for (j=1;j<=n;j++) {    'age' is age and 'sex' is a covariate. If you want to have a more
     pcom[j]=p[j];    complex model than "constant and age", you should modify the program
     xicom[j]=xi[j];    where the markup *Covariates have to be included here again* invites
   }    you to do it.  More covariates you add, slower the
   ax=0.0;    convergence.
   xx=1.0;  
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    The advantage of this computer programme, compared to a simple
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    multinomial logistic model, is clear when the delay between waves is not
 #ifdef DEBUG    identical for each individual. Also, if a individual missed an
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    intermediate interview, the information is lost, but taken into
 #endif    account using an interpolation or extrapolation.  
   for (j=1;j<=n;j++) {  
     xi[j] *= xmin;    hPijx is the probability to be observed in state i at age x+h
     p[j] += xi[j];    conditional to the observed state i at age x. The delay 'h' can be
   }    split into an exact number (nh*stepm) of unobserved intermediate
   free_vector(xicom,1,n);    states. This elementary transition (by month, quarter,
   free_vector(pcom,1,n);    semester or year) is modelled as a multinomial logistic.  The hPx
 }    matrix is simply the matrix product of nh*stepm elementary matrices
     and the contribution of each individual to the likelihood is simply
 /*************** powell ************************/    hPijx.
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  
             double (*func)(double []))    Also this programme outputs the covariance matrix of the parameters but also
 {    of the life expectancies. It also computes the period (stable) prevalence. 
   void linmin(double p[], double xi[], int n, double *fret,    
               double (*func)(double []));    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
   int i,ibig,j;             Institut national d'études démographiques, Paris.
   double del,t,*pt,*ptt,*xit;    This software have been partly granted by Euro-REVES, a concerted action
   double fp,fptt;    from the European Union.
   double *xits;    It is copyrighted identically to a GNU software product, ie programme and
   pt=vector(1,n);    software can be distributed freely for non commercial use. Latest version
   ptt=vector(1,n);    can be accessed at http://euroreves.ined.fr/imach .
   xit=vector(1,n);  
   xits=vector(1,n);    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
   *fret=(*func)(p);    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
   for (j=1;j<=n;j++) pt[j]=p[j];    
   for (*iter=1;;++(*iter)) {    **********************************************************************/
     fp=(*fret);  /*
     ibig=0;    main
     del=0.0;    read parameterfile
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);    read datafile
     for (i=1;i<=n;i++)    concatwav
       printf(" %d %.12f",i, p[i]);    freqsummary
     printf("\n");    if (mle >= 1)
     for (i=1;i<=n;i++) {      mlikeli
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    print results files
       fptt=(*fret);    if mle==1 
 #ifdef DEBUG       computes hessian
       printf("fret=%lf \n",*fret);    read end of parameter file: agemin, agemax, bage, fage, estepm
 #endif        begin-prev-date,...
       printf("%d",i);fflush(stdout);    open gnuplot file
       linmin(p,xit,n,fret,func);    open html file
       if (fabs(fptt-(*fret)) > del) {    period (stable) prevalence      | pl_nom    1-1 2-2 etc by covariate
         del=fabs(fptt-(*fret));     for age prevalim()             | #****** V1=0  V2=1  V3=1  V4=0 ******
         ibig=i;                                    | 65 1 0 2 1 3 1 4 0  0.96326 0.03674
       }      freexexit2 possible for memory heap.
 #ifdef DEBUG  
       printf("%d %.12e",i,(*fret));    h Pij x                         | pij_nom  ficrestpij
       for (j=1;j<=n;j++) {     # Cov Agex agex+h hpijx with i,j= 1-1 1-2     1-3     2-1     2-2     2-3
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);         1  85   85    1.00000             0.00000 0.00000 0.00000 1.00000 0.00000
         printf(" x(%d)=%.12e",j,xit[j]);         1  85   86    0.68299             0.22291 0.09410 0.71093 0.00000 0.28907
       }  
       for(j=1;j<=n;j++)         1  65   99    0.00364             0.00322 0.99314 0.00350 0.00310 0.99340
         printf(" p=%.12e",p[j]);         1  65  100    0.00214             0.00204 0.99581 0.00206 0.00196 0.99597
       printf("\n");    variance of p one-step probabilities varprob  | prob_nom   ficresprob #One-step probabilities and stand. devi in ()
 #endif     Standard deviation of one-step probabilities | probcor_nom   ficresprobcor #One-step probabilities and correlation matrix
     }     Matrix of variance covariance of one-step probabilities |  probcov_nom ficresprobcov #One-step probabilities and covariance matrix
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {  
 #ifdef DEBUG    forecasting if prevfcast==1 prevforecast call prevalence()
       int k[2],l;    health expectancies
       k[0]=1;    Variance-covariance of DFLE
       k[1]=-1;    prevalence()
       printf("Max: %.12e",(*func)(p));     movingaverage()
       for (j=1;j<=n;j++)    varevsij() 
         printf(" %.12e",p[j]);    if popbased==1 varevsij(,popbased)
       printf("\n");    total life expectancies
       for(l=0;l<=1;l++) {    Variance of period (stable) prevalence
         for (j=1;j<=n;j++) {   end
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  */
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);  
         }  /* #define DEBUG */
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));  /* #define DEBUGBRENT */
       }  #define POWELL /* Instead of NLOPT */
 #endif  #define POWELLF1F3 /* Skip test */
   /* #define POWELLORIGINAL /\* Don't use Directest to decide new direction but original Powell test *\/ */
   /* #define MNBRAKORIGINAL /\* Don't use mnbrak fix *\/ */
       free_vector(xit,1,n);  
       free_vector(xits,1,n);  #include <math.h>
       free_vector(ptt,1,n);  #include <stdio.h>
       free_vector(pt,1,n);  #include <stdlib.h>
       return;  #include <string.h>
     }  
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");  #ifdef _WIN32
     for (j=1;j<=n;j++) {  #include <io.h>
       ptt[j]=2.0*p[j]-pt[j];  #include <windows.h>
       xit[j]=p[j]-pt[j];  #include <tchar.h>
       pt[j]=p[j];  #else
     }  #include <unistd.h>
     fptt=(*func)(ptt);  #endif
     if (fptt < fp) {  
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  #include <limits.h>
       if (t < 0.0) {  #include <sys/types.h>
         linmin(p,xit,n,fret,func);  
         for (j=1;j<=n;j++) {  #if defined(__GNUC__)
           xi[j][ibig]=xi[j][n];  #include <sys/utsname.h> /* Doesn't work on Windows */
           xi[j][n]=xit[j];  #endif
         }  
 #ifdef DEBUG  #include <sys/stat.h>
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);  #include <errno.h>
         for(j=1;j<=n;j++)  /* extern int errno; */
           printf(" %.12e",xit[j]);  
         printf("\n");  /* #ifdef LINUX */
 #endif  /* #include <time.h> */
       }  /* #include "timeval.h" */
     }  /* #else */
   }  /* #include <sys/time.h> */
 }  /* #endif */
   
 /**** Prevalence limit ****************/  #include <time.h>
   
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  #ifdef GSL
 {  #include <gsl/gsl_errno.h>
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit  #include <gsl/gsl_multimin.h>
      matrix by transitions matrix until convergence is reached */  #endif
   
   int i, ii,j,k;  
   double min, max, maxmin, maxmax,sumnew=0.;  #ifdef NLOPT
   double **matprod2();  #include <nlopt.h>
   double **out, cov[NCOVMAX], **pmij();  typedef struct {
   double **newm;    double (* function)(double [] );
   double agefin, delaymax=50 ; /* Max number of years to converge */  } myfunc_data ;
   #endif
   for (ii=1;ii<=nlstate+ndeath;ii++)  
     for (j=1;j<=nlstate+ndeath;j++){  /* #include <libintl.h> */
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  /* #define _(String) gettext (String) */
     }  
   #define MAXLINE 1024 /* Was 256. Overflow with 312 with 2 states and 4 covariates. Should be ok */
    cov[1]=1.;  
    #define GNUPLOTPROGRAM "gnuplot"
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){  #define FILENAMELENGTH 132
     newm=savm;  
     /* Covariates have to be included here again */  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
      cov[2]=agefin;  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
    
       for (k=1; k<=cptcovn;k++) {  #define MAXPARM 128 /**< Maximum number of parameters for the optimization */
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  #define NPARMAX 64 /**< (nlstate+ndeath-1)*nlstate*ncovmodel */
         /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/  
       }  #define NINTERVMAX 8
       for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  #define NLSTATEMAX 8 /**< Maximum number of live states (for func) */
       for (k=1; k<=cptcovprod;k++)  #define NDEATHMAX 8 /**< Maximum number of dead states (for func) */
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  #define NCOVMAX 20 /**< Maximum number of covariates, including generated covariates V1*V2 */
   #define codtabm(h,k)  (1 & (h-1) >> (k-1))+1
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/  #define MAXN 20000
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/  #define YEARM 12. /**< Number of months per year */
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/  #define AGESUP 130
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);  #define AGEBASE 40
   #define AGEOVERFLOW 1.e20
     savm=oldm;  #define AGEGOMP 10 /**< Minimal age for Gompertz adjustment */
     oldm=newm;  #ifdef _WIN32
     maxmax=0.;  #define DIRSEPARATOR '\\'
     for(j=1;j<=nlstate;j++){  #define CHARSEPARATOR "\\"
       min=1.;  #define ODIRSEPARATOR '/'
       max=0.;  #else
       for(i=1; i<=nlstate; i++) {  #define DIRSEPARATOR '/'
         sumnew=0;  #define CHARSEPARATOR "/"
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  #define ODIRSEPARATOR '\\'
         prlim[i][j]= newm[i][j]/(1-sumnew);  #endif
         max=FMAX(max,prlim[i][j]);  
         min=FMIN(min,prlim[i][j]);  /* $Id$ */
       }  /* $State$ */
       maxmin=max-min;  #include "version.h"
       maxmax=FMAX(maxmax,maxmin);  char version[]=__IMACH_VERSION__;
     }  char copyright[]="September 2015,INED-EUROREVES-Institut de longevite-Japan Society for the Promotion of Science (Grant-in-Aid for Scientific Research 25293121), Intel Software 2015";
     if(maxmax < ftolpl){  char fullversion[]="$Revision$ $Date$"; 
       return prlim;  char strstart[80];
     }  char optionfilext[10], optionfilefiname[FILENAMELENGTH];
   }  int erreur=0, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
 }  int nagesqr=0, nforce=0; /* nagesqr=1 if model is including age*age, number of forces */
   /* Number of covariates model=V2+V1+ V3*age+V2*V4 */
 /*************** transition probabilities ***************/  int cptcovn=0; /**< cptcovn number of covariates added in the model (excepting constant and age and age*product) */
   int cptcovt=0; /**< cptcovt number of covariates added in the model (excepting constant and age) */
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  int cptcovs=0; /**< cptcovs number of simple covariates V2+V1 =2 */
 {  int cptcovage=0; /**< Number of covariates with age: V3*age only =1 */
   double s1, s2;  int cptcovprodnoage=0; /**< Number of covariate products without age */   
   /*double t34;*/  int cptcoveff=0; /* Total number of covariates to vary for printing results */
   int i,j,j1, nc, ii, jj;  int cptcov=0; /* Working variable */
   int npar=NPARMAX;
     for(i=1; i<= nlstate; i++){  int nlstate=2; /* Number of live states */
     for(j=1; j<i;j++){  int ndeath=1; /* Number of dead states */
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  int ncovmodel=0, ncovcol=0;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
         /*s2 += param[i][j][nc]*cov[nc];*/  int popbased=0;
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/  int *wav; /* Number of waves for this individuual 0 is possible */
       }  int maxwav=0; /* Maxim number of waves */
       ps[i][j]=s2;  int jmin=0, jmax=0; /* min, max spacing between 2 waves */
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/  int ijmin=0, ijmax=0; /* Individuals having jmin and jmax */ 
     }  int gipmx=0, gsw=0; /* Global variables on the number of contributions 
     for(j=i+1; j<=nlstate+ndeath;j++){                     to the likelihood and the sum of weights (done by funcone)*/
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  int mle=1, weightopt=0;
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
       }  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
       ps[i][j]=s2;             * wave mi and wave mi+1 is not an exact multiple of stepm. */
     }  int countcallfunc=0;  /* Count the number of calls to func */
   }  double jmean=1; /* Mean space between 2 waves */
     /*ps[3][2]=1;*/  double **matprod2(); /* test */
   double **oldm, **newm, **savm; /* Working pointers to matrices */
   for(i=1; i<= nlstate; i++){  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
      s1=0;  /*FILE *fic ; */ /* Used in readdata only */
     for(j=1; j<i; j++)  FILE *ficpar, *ficparo,*ficres, *ficresp, *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
       s1+=exp(ps[i][j]);  FILE *ficlog, *ficrespow;
     for(j=i+1; j<=nlstate+ndeath; j++)  int globpr=0; /* Global variable for printing or not */
       s1+=exp(ps[i][j]);  double fretone; /* Only one call to likelihood */
     ps[i][i]=1./(s1+1.);  long ipmx=0; /* Number of contributions */
     for(j=1; j<i; j++)  double sw; /* Sum of weights */
       ps[i][j]= exp(ps[i][j])*ps[i][i];  char filerespow[FILENAMELENGTH];
     for(j=i+1; j<=nlstate+ndeath; j++)  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
       ps[i][j]= exp(ps[i][j])*ps[i][i];  FILE *ficresilk;
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   } /* end i */  FILE *ficresprobmorprev;
   FILE *fichtm, *fichtmcov; /* Html File */
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){  FILE *ficreseij;
     for(jj=1; jj<= nlstate+ndeath; jj++){  char filerese[FILENAMELENGTH];
       ps[ii][jj]=0;  FILE *ficresstdeij;
       ps[ii][ii]=1;  char fileresstde[FILENAMELENGTH];
     }  FILE *ficrescveij;
   }  char filerescve[FILENAMELENGTH];
   FILE  *ficresvij;
   char fileresv[FILENAMELENGTH];
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  FILE  *ficresvpl;
     for(jj=1; jj<= nlstate+ndeath; jj++){  char fileresvpl[FILENAMELENGTH];
      printf("%lf ",ps[ii][jj]);  char title[MAXLINE];
    }  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
     printf("\n ");  char plotcmd[FILENAMELENGTH], pplotcmd[FILENAMELENGTH];
     }  char tmpout[FILENAMELENGTH],  tmpout2[FILENAMELENGTH]; 
     printf("\n ");printf("%lf ",cov[2]);*/  char command[FILENAMELENGTH];
 /*  int  outcmd=0;
   for(i=1; i<= npar; i++) printf("%f ",x[i]);  
   goto end;*/  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
     return ps;  
 }  char filelog[FILENAMELENGTH]; /* Log file */
   char filerest[FILENAMELENGTH];
 /**************** Product of 2 matrices ******************/  char fileregp[FILENAMELENGTH];
   char popfile[FILENAMELENGTH];
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  
 {  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */  /* struct timeval start_time, end_time, curr_time, last_time, forecast_time; */
   /* in, b, out are matrice of pointers which should have been initialized  /* struct timezone tzp; */
      before: only the contents of out is modified. The function returns  /* extern int gettimeofday(); */
      a pointer to pointers identical to out */  struct tm tml, *gmtime(), *localtime();
   long i, j, k;  
   for(i=nrl; i<= nrh; i++)  extern time_t time();
     for(k=ncolol; k<=ncoloh; k++)  
       for(j=ncl,out[i][k]=0.; j<=nch; j++)  struct tm start_time, end_time, curr_time, last_time, forecast_time;
         out[i][k] +=in[i][j]*b[j][k];  time_t  rstart_time, rend_time, rcurr_time, rlast_time, rforecast_time; /* raw time */
   struct tm tm;
   return out;  
 }  char strcurr[80], strfor[80];
   
   char *endptr;
 /************* Higher Matrix Product ***************/  long lval;
   double dval;
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  
 {  #define NR_END 1
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month  #define FREE_ARG char*
      duration (i.e. until  #define FTOL 1.0e-10
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step  #define NRANSI 
      (typically every 2 years instead of every month which is too big).  #define ITMAX 200 
      Model is determined by parameters x and covariates have to be  
      included manually here.  #define TOL 2.0e-4 
   
      */  #define CGOLD 0.3819660 
   #define ZEPS 1.0e-10 
   int i, j, d, h, k;  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   double **out, cov[NCOVMAX];  
   double **newm;  #define GOLD 1.618034 
   #define GLIMIT 100.0 
   /* Hstepm could be zero and should return the unit matrix */  #define TINY 1.0e-20 
   for (i=1;i<=nlstate+ndeath;i++)  
     for (j=1;j<=nlstate+ndeath;j++){  static double maxarg1,maxarg2;
       oldm[i][j]=(i==j ? 1.0 : 0.0);  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
       po[i][j][0]=(i==j ? 1.0 : 0.0);  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     }    
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   for(h=1; h <=nhstepm; h++){  #define rint(a) floor(a+0.5)
     for(d=1; d <=hstepm; d++){  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/myutils_8h-source.html */
       newm=savm;  #define mytinydouble 1.0e-16
       /* Covariates have to be included here again */  /* #define DEQUAL(a,b) (fabs((a)-(b))<mytinydouble) */
       cov[1]=1.;  /* http://www.thphys.uni-heidelberg.de/~robbers/cmbeasy/doc/html/mynrutils_8h-source.html */
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;  /* static double dsqrarg; */
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  /* #define DSQR(a) (DEQUAL((dsqrarg=(a)),0.0) ? 0.0 : dsqrarg*dsqrarg) */
       for (k=1; k<=cptcovage;k++)  static double sqrarg;
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
       for (k=1; k<=cptcovprod;k++)  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  int agegomp= AGEGOMP;
   
   int imx; 
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/  int stepm=1;
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/  /* Stepm, step in month: minimum step interpolation*/
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,  
                    pmij(pmmij,cov,ncovmodel,x,nlstate));  int estepm;
       savm=oldm;  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
       oldm=newm;  
     }  int m,nb;
     for(i=1; i<=nlstate+ndeath; i++)  long *num;
       for(j=1;j<=nlstate+ndeath;j++) {  int firstpass=0, lastpass=4,*cod, *cens;
         po[i][j][h]=newm[i][j];  int *ncodemax;  /* ncodemax[j]= Number of modalities of the j th
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);                     covariate for which somebody answered excluding 
          */                     undefined. Usually 2: 0 and 1. */
       }  int *ncodemaxwundef;  /* ncodemax[j]= Number of modalities of the j th
   } /* end h */                               covariate for which somebody answered including 
   return po;                               undefined. Usually 3: -1, 0 and 1. */
 }  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
   double **pmmij, ***probs;
   double *ageexmed,*agecens;
 /*************** log-likelihood *************/  double dateintmean=0;
 double func( double *x)  
 {  double *weight;
   int i, ii, j, k, mi, d, kk;  int **s; /* Status */
   double l, ll[NLSTATEMAX], cov[NCOVMAX];  double *agedc;
   double **out;  double  **covar; /**< covar[j,i], value of jth covariate for individual i,
   double sw; /* Sum of weights */                    * covar=matrix(0,NCOVMAX,1,n); 
   double lli; /* Individual log likelihood */                    * cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*age; */
   long ipmx;  double  idx; 
   /*extern weight */  int **nbcode, *Tvar; /**< model=V2 => Tvar[1]= 2 */
   /* We are differentiating ll according to initial status */  int *Tage;
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/  int *Ndum; /** Freq of modality (tricode */
   /*for(i=1;i<imx;i++)  /* int **codtab;*/ /**< codtab=imatrix(1,100,1,10); */
     printf(" %d\n",s[4][i]);  int **Tvard, *Tprod, cptcovprod, *Tvaraff;
   */  double *lsurv, *lpop, *tpop;
   cov[1]=1.;  
   double ftol=FTOL; /**< Tolerance for computing Max Likelihood */
   for(k=1; k<=nlstate; k++) ll[k]=0.;  double ftolhess; /**< Tolerance for computing hessian */
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  /**************** split *************************/
     for(mi=1; mi<= wav[i]-1; mi++){  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
       for (ii=1;ii<=nlstate+ndeath;ii++)  {
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);    /* From a file name with (full) path (either Unix or Windows) we extract the directory (dirc)
       for(d=0; d<dh[mi][i]; d++){       the name of the file (name), its extension only (ext) and its first part of the name (finame)
         newm=savm;    */ 
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;    char  *ss;                            /* pointer */
         for (kk=1; kk<=cptcovage;kk++) {    int   l1=0, l2=0;                             /* length counters */
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];  
         }    l1 = strlen(path );                   /* length of path */
            if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    if ( ss == NULL ) {                   /* no directory, so determine current directory */
         savm=oldm;      strcpy( name, path );               /* we got the fullname name because no directory */
         oldm=newm;      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
                printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
              /* get current working directory */
       } /* end mult */      /*    extern  char* getcwd ( char *buf , int len);*/
        #ifdef WIN32
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);      if (_getcwd( dirc, FILENAME_MAX ) == NULL ) {
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  #else
       ipmx +=1;          if (getcwd(dirc, FILENAME_MAX) == NULL) {
       sw += weight[i];  #endif
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;        return( GLOCK_ERROR_GETCWD );
     } /* end of wave */      }
   } /* end of individual */      /* got dirc from getcwd*/
       printf(" DIRC = %s \n",dirc);
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    } else {                              /* strip direcotry from path */
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */      ss++;                               /* after this, the filename */
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */      l2 = strlen( ss );                  /* length of filename */
   return -l;      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
 }      strcpy( name, ss );         /* save file name */
       strncpy( dirc, path, l1 - l2 );     /* now the directory */
       dirc[l1-l2] = '\0';                 /* add zero */
 /*********** Maximum Likelihood Estimation ***************/      printf(" DIRC2 = %s \n",dirc);
     }
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))    /* We add a separator at the end of dirc if not exists */
 {    l1 = strlen( dirc );                  /* length of directory */
   int i,j, iter;    if( dirc[l1-1] != DIRSEPARATOR ){
   double **xi,*delti;      dirc[l1] =  DIRSEPARATOR;
   double fret;      dirc[l1+1] = 0; 
   xi=matrix(1,npar,1,npar);      printf(" DIRC3 = %s \n",dirc);
   for (i=1;i<=npar;i++)    }
     for (j=1;j<=npar;j++)    ss = strrchr( name, '.' );            /* find last / */
       xi[i][j]=(i==j ? 1.0 : 0.0);    if (ss >0){
   printf("Powell\n");      ss++;
   powell(p,xi,npar,ftol,&iter,&fret,func);      strcpy(ext,ss);                     /* save extension */
       l1= strlen( name);
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));      l2= strlen(ss)+1;
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));      strncpy( finame, name, l1-l2);
       finame[l1-l2]= 0;
 }    }
   
 /**** Computes Hessian and covariance matrix ***/    return( 0 );                          /* we're done */
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  }
 {  
   double  **a,**y,*x,pd;  
   double **hess;  /******************************************/
   int i, j,jk;  
   int *indx;  void replace_back_to_slash(char *s, char*t)
   {
   double hessii(double p[], double delta, int theta, double delti[]);    int i;
   double hessij(double p[], double delti[], int i, int j);    int lg=0;
   void lubksb(double **a, int npar, int *indx, double b[]) ;    i=0;
   void ludcmp(double **a, int npar, int *indx, double *d) ;    lg=strlen(t);
     for(i=0; i<= lg; i++) {
   hess=matrix(1,npar,1,npar);      (s[i] = t[i]);
       if (t[i]== '\\') s[i]='/';
   printf("\nCalculation of the hessian matrix. Wait...\n");    }
   for (i=1;i<=npar;i++){  }
     printf("%d",i);fflush(stdout);  
     hess[i][i]=hessii(p,ftolhess,i,delti);  char *trimbb(char *out, char *in)
     /*printf(" %f ",p[i]);*/  { /* Trim multiple blanks in line but keeps first blanks if line starts with blanks */
     /*printf(" %lf ",hess[i][i]);*/    char *s;
   }    s=out;
      while (*in != '\0'){
   for (i=1;i<=npar;i++) {      while( *in == ' ' && *(in+1) == ' '){ /* && *(in+1) != '\0'){*/
     for (j=1;j<=npar;j++)  {        in++;
       if (j>i) {      }
         printf(".%d%d",i,j);fflush(stdout);      *out++ = *in++;
         hess[i][j]=hessij(p,delti,i,j);    }
         hess[j][i]=hess[i][j];        *out='\0';
         /*printf(" %lf ",hess[i][j]);*/    return s;
       }  }
     }  
   }  /* char *substrchaine(char *out, char *in, char *chain) */
   printf("\n");  /* { */
   /*   /\* Substract chain 'chain' from 'in', return and output 'out' *\/ */
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");  /*   char *s, *t; */
    /*   t=in;s=out; */
   a=matrix(1,npar,1,npar);  /*   while ((*in != *chain) && (*in != '\0')){ */
   y=matrix(1,npar,1,npar);  /*     *out++ = *in++; */
   x=vector(1,npar);  /*   } */
   indx=ivector(1,npar);  
   for (i=1;i<=npar;i++)  /*   /\* *in matches *chain *\/ */
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  /*   while ((*in++ == *chain++) && (*in != '\0')){ */
   ludcmp(a,npar,indx,&pd);  /*     printf("*in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
   /*   } */
   for (j=1;j<=npar;j++) {  /*   in--; chain--; */
     for (i=1;i<=npar;i++) x[i]=0;  /*   while ( (*in != '\0')){ */
     x[j]=1;  /*     printf("Bef *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
     lubksb(a,npar,indx,x);  /*     *out++ = *in++; */
     for (i=1;i<=npar;i++){  /*     printf("Aft *in = %c, *out= %c *chain= %c \n", *in, *out, *chain);  */
       matcov[i][j]=x[i];  /*   } */
     }  /*   *out='\0'; */
   }  /*   out=s; */
   /*   return out; */
   printf("\n#Hessian matrix#\n");  /* } */
   for (i=1;i<=npar;i++) {  char *substrchaine(char *out, char *in, char *chain)
     for (j=1;j<=npar;j++) {  {
       printf("%.3e ",hess[i][j]);    /* Substract chain 'chain' from 'in', return and output 'out' */
     }    /* in="V1+V1*age+age*age+V2", chain="age*age" */
     printf("\n");  
   }    char *strloc;
   
   /* Recompute Inverse */    strcpy (out, in); 
   for (i=1;i<=npar;i++)    strloc = strstr(out, chain); /* strloc points to out at age*age+V2 */
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];    printf("Bef strloc=%s chain=%s out=%s \n", strloc, chain, out);
   ludcmp(a,npar,indx,&pd);    if(strloc != NULL){ 
       /* will affect out */ /* strloc+strlenc(chain)=+V2 */ /* Will also work in Unicode */
   /*  printf("\n#Hessian matrix recomputed#\n");      memmove(strloc,strloc+strlen(chain), strlen(strloc+strlen(chain))+1);
       /* strcpy (strloc, strloc +strlen(chain));*/
   for (j=1;j<=npar;j++) {    }
     for (i=1;i<=npar;i++) x[i]=0;    printf("Aft strloc=%s chain=%s in=%s out=%s \n", strloc, chain, in, out);
     x[j]=1;    return out;
     lubksb(a,npar,indx,x);  }
     for (i=1;i<=npar;i++){  
       y[i][j]=x[i];  
       printf("%.3e ",y[i][j]);  char *cutl(char *blocc, char *alocc, char *in, char occ)
     }  {
     printf("\n");    /* cuts string in into blocc and alocc where blocc ends before FIRST occurence of char 'occ' 
   }       and alocc starts after first occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
   */       gives blocc="abcdef" and alocc="ghi2j".
        If occ is not found blocc is null and alocc is equal to in. Returns blocc
   free_matrix(a,1,npar,1,npar);    */
   free_matrix(y,1,npar,1,npar);    char *s, *t;
   free_vector(x,1,npar);    t=in;s=in;
   free_ivector(indx,1,npar);    while ((*in != occ) && (*in != '\0')){
   free_matrix(hess,1,npar,1,npar);      *alocc++ = *in++;
     }
     if( *in == occ){
 }      *(alocc)='\0';
       s=++in;
 /*************** hessian matrix ****************/    }
 double hessii( double x[], double delta, int theta, double delti[])   
 {    if (s == t) {/* occ not found */
   int i;      *(alocc-(in-s))='\0';
   int l=1, lmax=20;      in=s;
   double k1,k2;    }
   double p2[NPARMAX+1];    while ( *in != '\0'){
   double res;      *blocc++ = *in++;
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;    }
   double fx;  
   int k=0,kmax=10;    *blocc='\0';
   double l1;    return t;
   }
   fx=func(x);  char *cutv(char *blocc, char *alocc, char *in, char occ)
   for (i=1;i<=npar;i++) p2[i]=x[i];  {
   for(l=0 ; l <=lmax; l++){    /* cuts string in into blocc and alocc where blocc ends before LAST occurence of char 'occ' 
     l1=pow(10,l);       and alocc starts after last occurence of char 'occ' : ex cutv(blocc,alocc,"abcdef2ghi2j",'2')
     delts=delt;       gives blocc="abcdef2ghi" and alocc="j".
     for(k=1 ; k <kmax; k=k+1){       If occ is not found blocc is null and alocc is equal to in. Returns alocc
       delt = delta*(l1*k);    */
       p2[theta]=x[theta] +delt;    char *s, *t;
       k1=func(p2)-fx;    t=in;s=in;
       p2[theta]=x[theta]-delt;    while (*in != '\0'){
       k2=func(p2)-fx;      while( *in == occ){
       /*res= (k1-2.0*fx+k2)/delt/delt; */        *blocc++ = *in++;
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        s=in;
            }
 #ifdef DEBUG      *blocc++ = *in++;
       printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);    }
 #endif    if (s == t) /* occ not found */
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */      *(blocc-(in-s))='\0';
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){    else
         k=kmax;      *(blocc-(in-s)-1)='\0';
       }    in=s;
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    while ( *in != '\0'){
         k=kmax; l=lmax*10.;      *alocc++ = *in++;
       }    }
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  
         delts=delt;    *alocc='\0';
       }    return s;
     }  }
   }  
   delti[theta]=delts;  int nbocc(char *s, char occ)
   return res;  {
      int i,j=0;
 }    int lg=20;
     i=0;
 double hessij( double x[], double delti[], int thetai,int thetaj)    lg=strlen(s);
 {    for(i=0; i<= lg; i++) {
   int i;    if  (s[i] == occ ) j++;
   int l=1, l1, lmax=20;    }
   double k1,k2,k3,k4,res,fx;    return j;
   double p2[NPARMAX+1];  }
   int k;  
   /* void cutv(char *u,char *v, char*t, char occ) */
   fx=func(x);  /* { */
   for (k=1; k<=2; k++) {  /*   /\* cuts string t into u and v where u ends before last occurence of char 'occ'  */
     for (i=1;i<=npar;i++) p2[i]=x[i];  /*      and v starts after last occurence of char 'occ' : ex cutv(u,v,"abcdef2ghi2j",'2') */
     p2[thetai]=x[thetai]+delti[thetai]/k;  /*      gives u="abcdef2ghi" and v="j" *\/ */
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  /*   int i,lg,j,p=0; */
     k1=func(p2)-fx;  /*   i=0; */
    /*   lg=strlen(t); */
     p2[thetai]=x[thetai]+delti[thetai]/k;  /*   for(j=0; j<=lg-1; j++) { */
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  /*     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1; */
     k2=func(p2)-fx;  /*   } */
    
     p2[thetai]=x[thetai]-delti[thetai]/k;  /*   for(j=0; j<p; j++) { */
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;  /*     (u[j] = t[j]); */
     k3=func(p2)-fx;  /*   } */
    /*      u[p]='\0'; */
     p2[thetai]=x[thetai]-delti[thetai]/k;  
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;  /*    for(j=0; j<= lg; j++) { */
     k4=func(p2)-fx;  /*     if (j>=(p+1))(v[j-p-1] = t[j]); */
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */  /*   } */
 #ifdef DEBUG  /* } */
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);  
 #endif  #ifdef _WIN32
   }  char * strsep(char **pp, const char *delim)
   return res;  {
 }    char *p, *q;
            
 /************** Inverse of matrix **************/    if ((p = *pp) == NULL)
 void ludcmp(double **a, int n, int *indx, double *d)      return 0;
 {    if ((q = strpbrk (p, delim)) != NULL)
   int i,imax,j,k;    {
   double big,dum,sum,temp;      *pp = q + 1;
   double *vv;      *q = '\0';
      }
   vv=vector(1,n);    else
   *d=1.0;      *pp = 0;
   for (i=1;i<=n;i++) {    return p;
     big=0.0;  }
     for (j=1;j<=n;j++)  #endif
       if ((temp=fabs(a[i][j])) > big) big=temp;  
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  /********************** nrerror ********************/
     vv[i]=1.0/big;  
   }  void nrerror(char error_text[])
   for (j=1;j<=n;j++) {  {
     for (i=1;i<j;i++) {    fprintf(stderr,"ERREUR ...\n");
       sum=a[i][j];    fprintf(stderr,"%s\n",error_text);
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];    exit(EXIT_FAILURE);
       a[i][j]=sum;  }
     }  /*********************** vector *******************/
     big=0.0;  double *vector(int nl, int nh)
     for (i=j;i<=n;i++) {  {
       sum=a[i][j];    double *v;
       for (k=1;k<j;k++)    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
         sum -= a[i][k]*a[k][j];    if (!v) nrerror("allocation failure in vector");
       a[i][j]=sum;    return v-nl+NR_END;
       if ( (dum=vv[i]*fabs(sum)) >= big) {  }
         big=dum;  
         imax=i;  /************************ free vector ******************/
       }  void free_vector(double*v, int nl, int nh)
     }  {
     if (j != imax) {    free((FREE_ARG)(v+nl-NR_END));
       for (k=1;k<=n;k++) {  }
         dum=a[imax][k];  
         a[imax][k]=a[j][k];  /************************ivector *******************************/
         a[j][k]=dum;  int *ivector(long nl,long nh)
       }  {
       *d = -(*d);    int *v;
       vv[imax]=vv[j];    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
     }    if (!v) nrerror("allocation failure in ivector");
     indx[j]=imax;    return v-nl+NR_END;
     if (a[j][j] == 0.0) a[j][j]=TINY;  }
     if (j != n) {  
       dum=1.0/(a[j][j]);  /******************free ivector **************************/
       for (i=j+1;i<=n;i++) a[i][j] *= dum;  void free_ivector(int *v, long nl, long nh)
     }  {
   }    free((FREE_ARG)(v+nl-NR_END));
   free_vector(vv,1,n);  /* Doesn't work */  }
 ;  
 }  /************************lvector *******************************/
   long *lvector(long nl,long nh)
 void lubksb(double **a, int n, int *indx, double b[])  {
 {    long *v;
   int i,ii=0,ip,j;    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
   double sum;    if (!v) nrerror("allocation failure in ivector");
      return v-nl+NR_END;
   for (i=1;i<=n;i++) {  }
     ip=indx[i];  
     sum=b[ip];  /******************free lvector **************************/
     b[ip]=b[i];  void free_lvector(long *v, long nl, long nh)
     if (ii)  {
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];    free((FREE_ARG)(v+nl-NR_END));
     else if (sum) ii=i;  }
     b[i]=sum;  
   }  /******************* imatrix *******************************/
   for (i=n;i>=1;i--) {  int **imatrix(long nrl, long nrh, long ncl, long nch) 
     sum=b[i];       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];  { 
     b[i]=sum/a[i][i];    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
   }    int **m; 
 }    
     /* allocate pointers to rows */ 
 /************ Frequencies ********************/    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2)    if (!m) nrerror("allocation failure 1 in matrix()"); 
 {  /* Some frequencies */    m += NR_END; 
      m -= nrl; 
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;    
   double ***freq; /* Frequencies */    
   double *pp;    /* allocate rows and set pointers to them */ 
   double pos, k2, dateintsum=0,k2cpt=0;    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
   FILE *ficresp;    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
   char fileresp[FILENAMELENGTH];    m[nrl] += NR_END; 
      m[nrl] -= ncl; 
   pp=vector(1,nlstate);    
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
   strcpy(fileresp,"p");    
   strcat(fileresp,fileres);    /* return pointer to array of pointers to rows */ 
   if((ficresp=fopen(fileresp,"w"))==NULL) {    return m; 
     printf("Problem with prevalence resultfile: %s\n", fileresp);  } 
     exit(0);  
   }  /****************** free_imatrix *************************/
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);  void free_imatrix(m,nrl,nrh,ncl,nch)
   j1=0;        int **m;
          long nch,ncl,nrh,nrl; 
   j=cptcoveff;       /* free an int matrix allocated by imatrix() */ 
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  { 
      free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
   for(k1=1; k1<=j;k1++){    free((FREE_ARG) (m+nrl-NR_END)); 
     for(i1=1; i1<=ncodemax[k1];i1++){  } 
       j1++;  
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);  /******************* matrix *******************************/
         scanf("%d", i);*/  double **matrix(long nrl, long nrh, long ncl, long nch)
       for (i=-1; i<=nlstate+ndeath; i++)    {
         for (jk=-1; jk<=nlstate+ndeath; jk++)      long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
           for(m=agemin; m <= agemax+3; m++)    double **m;
             freq[i][jk][m]=0;  
          m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       dateintsum=0;    if (!m) nrerror("allocation failure 1 in matrix()");
       k2cpt=0;    m += NR_END;
       for (i=1; i<=imx; i++) {    m -= nrl;
         bool=1;  
         if  (cptcovn>0) {    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
           for (z1=1; z1<=cptcoveff; z1++)    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    m[nrl] += NR_END;
               bool=0;    m[nrl] -= ncl;
         }  
         if (bool==1) {    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
           for(m=firstpass; m<=lastpass; m++){    return m;
             k2=anint[m][i]+(mint[m][i]/12.);    /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) or &(m[1][0])
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  m[i] = address of ith row of the table. &(m[i]) is its value which is another adress
               if(agev[m][i]==0) agev[m][i]=agemax+1;  that of m[i][0]. In order to get the value p m[i][0] but it is unitialized.
               if(agev[m][i]==1) agev[m][i]=agemax+2;     */
               if (m<lastpass) {  }
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];  
                 freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];  /*************************free matrix ************************/
               }  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
                {
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {    free((FREE_ARG)(m[nrl]+ncl-NR_END));
                 dateintsum=dateintsum+k2;    free((FREE_ARG)(m+nrl-NR_END));
                 k2cpt++;  }
               }  
             }  /******************* ma3x *******************************/
           }  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
         }  {
       }    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
            double ***m;
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);  
     m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       if  (cptcovn>0) {    if (!m) nrerror("allocation failure 1 in matrix()");
         fprintf(ficresp, "\n#********** Variable ");    m += NR_END;
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    m -= nrl;
         fprintf(ficresp, "**********\n#");  
       }    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       for(i=1; i<=nlstate;i++)    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);    m[nrl] += NR_END;
       fprintf(ficresp, "\n");    m[nrl] -= ncl;
        
       for(i=(int)agemin; i <= (int)agemax+3; i++){    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
         if(i==(int)agemax+3)  
           printf("Total");    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
         else    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
           printf("Age %d", i);    m[nrl][ncl] += NR_END;
         for(jk=1; jk <=nlstate ; jk++){    m[nrl][ncl] -= nll;
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    for (j=ncl+1; j<=nch; j++) 
             pp[jk] += freq[jk][m][i];      m[nrl][j]=m[nrl][j-1]+nlay;
         }    
         for(jk=1; jk <=nlstate ; jk++){    for (i=nrl+1; i<=nrh; i++) {
           for(m=-1, pos=0; m <=0 ; m++)      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
             pos += freq[jk][m][i];      for (j=ncl+1; j<=nch; j++) 
           if(pp[jk]>=1.e-10)        m[i][j]=m[i][j-1]+nlay;
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);    }
           else    return m; 
             printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
         }             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
     */
         for(jk=1; jk <=nlstate ; jk++){  }
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)  
             pp[jk] += freq[jk][m][i];  /*************************free ma3x ************************/
         }  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
   {
         for(jk=1,pos=0; jk <=nlstate ; jk++)    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
           pos += pp[jk];    free((FREE_ARG)(m[nrl]+ncl-NR_END));
         for(jk=1; jk <=nlstate ; jk++){    free((FREE_ARG)(m+nrl-NR_END));
           if(pos>=1.e-5)  }
             printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);  
           else  /*************** function subdirf ***********/
             printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);  char *subdirf(char fileres[])
           if( i <= (int) agemax){  {
             if(pos>=1.e-5){    /* Caution optionfilefiname is hidden */
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);    strcpy(tmpout,optionfilefiname);
               probs[i][jk][j1]= pp[jk]/pos;    strcat(tmpout,"/"); /* Add to the right */
               /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/    strcat(tmpout,fileres);
             }    return tmpout;
             else  }
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);  
           }  /*************** function subdirf2 ***********/
         }  char *subdirf2(char fileres[], char *preop)
          {
         for(jk=-1; jk <=nlstate+ndeath; jk++)    
           for(m=-1; m <=nlstate+ndeath; m++)    /* Caution optionfilefiname is hidden */
             if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);    strcpy(tmpout,optionfilefiname);
         if(i <= (int) agemax)    strcat(tmpout,"/");
           fprintf(ficresp,"\n");    strcat(tmpout,preop);
         printf("\n");    strcat(tmpout,fileres);
       }    return tmpout;
     }  }
   }  
   dateintmean=dateintsum/k2cpt;  /*************** function subdirf3 ***********/
    char *subdirf3(char fileres[], char *preop, char *preop2)
   fclose(ficresp);  {
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    
   free_vector(pp,1,nlstate);    /* Caution optionfilefiname is hidden */
      strcpy(tmpout,optionfilefiname);
   /* End of Freq */    strcat(tmpout,"/");
 }    strcat(tmpout,preop);
     strcat(tmpout,preop2);
 /************ Prevalence ********************/    strcat(tmpout,fileres);
 void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)    return tmpout;
 {  /* Some frequencies */  }
    
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;  char *asc_diff_time(long time_sec, char ascdiff[])
   double ***freq; /* Frequencies */  {
   double *pp;    long sec_left, days, hours, minutes;
   double pos, k2;    days = (time_sec) / (60*60*24);
     sec_left = (time_sec) % (60*60*24);
   pp=vector(1,nlstate);    hours = (sec_left) / (60*60) ;
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    sec_left = (sec_left) %(60*60);
      minutes = (sec_left) /60;
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);    sec_left = (sec_left) % (60);
   j1=0;    sprintf(ascdiff,"%ld day(s) %ld hour(s) %ld minute(s) %ld second(s)",days, hours, minutes, sec_left);  
      return ascdiff;
   j=cptcoveff;  }
   if (cptcovn<1) {j=1;ncodemax[1]=1;}  
    /***************** f1dim *************************/
   for(k1=1; k1<=j;k1++){  extern int ncom; 
     for(i1=1; i1<=ncodemax[k1];i1++){  extern double *pcom,*xicom;
       j1++;  extern double (*nrfunc)(double []); 
         
       for (i=-1; i<=nlstate+ndeath; i++)    double f1dim(double x) 
         for (jk=-1; jk<=nlstate+ndeath; jk++)    { 
           for(m=agemin; m <= agemax+3; m++)    int j; 
             freq[i][jk][m]=0;    double f;
          double *xt; 
       for (i=1; i<=imx; i++) {   
         bool=1;    xt=vector(1,ncom); 
         if  (cptcovn>0) {    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
           for (z1=1; z1<=cptcoveff; z1++)    f=(*nrfunc)(xt); 
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    free_vector(xt,1,ncom); 
               bool=0;    return f; 
         }  } 
         if (bool==1) {  
           for(m=firstpass; m<=lastpass; m++){  /*****************brent *************************/
             k2=anint[m][i]+(mint[m][i]/12.);  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
             if ((k2>=dateprev1) && (k2<=dateprev2)) {  {
               if(agev[m][i]==0) agev[m][i]=agemax+1;    /* Given a function f, and given a bracketing triplet of abscissas ax, bx, cx (such that bx is
               if(agev[m][i]==1) agev[m][i]=agemax+2;     * between ax and cx, and f(bx) is less than both f(ax) and f(cx) ), this routine isolates
               if (m<lastpass) {     * the minimum to a fractional precision of about tol using Brent’s method. The abscissa of
                 if (calagedate>0)     * the minimum is returned as xmin, and the minimum function value is returned as brent , the
                   freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];     * returned function value. 
                 else    */
                   freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    int iter; 
                 freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i];    double a,b,d,etemp;
               }    double fu=0,fv,fw,fx;
             }    double ftemp=0.;
           }    double p,q,r,tol1,tol2,u,v,w,x,xm; 
         }    double e=0.0; 
       }   
       for(i=(int)agemin; i <= (int)agemax+3; i++){    a=(ax < cx ? ax : cx); 
         for(jk=1; jk <=nlstate ; jk++){    b=(ax > cx ? ax : cx); 
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    x=w=v=bx; 
             pp[jk] += freq[jk][m][i];    fw=fv=fx=(*f)(x); 
         }    for (iter=1;iter<=ITMAX;iter++) { 
         for(jk=1; jk <=nlstate ; jk++){      xm=0.5*(a+b); 
           for(m=-1, pos=0; m <=0 ; m++)      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
             pos += freq[jk][m][i];      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
         }      printf(".");fflush(stdout);
              fprintf(ficlog,".");fflush(ficlog);
         for(jk=1; jk <=nlstate ; jk++){  #ifdef DEBUGBRENT
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
             pp[jk] += freq[jk][m][i];      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
         }      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
          #endif
         for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
                *xmin=x; 
         for(jk=1; jk <=nlstate ; jk++){            return fx; 
           if( i <= (int) agemax){      } 
             if(pos>=1.e-5){      ftemp=fu;
               probs[i][jk][j1]= pp[jk]/pos;      if (fabs(e) > tol1) { 
             }        r=(x-w)*(fx-fv); 
           }        q=(x-v)*(fx-fw); 
         }        p=(x-v)*q-(x-w)*r; 
                q=2.0*(q-r); 
       }        if (q > 0.0) p = -p; 
     }        q=fabs(q); 
   }        etemp=e; 
         e=d; 
          if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   free_vector(pp,1,nlstate);        else { 
            d=p/q; 
 }  /* End of Freq */          u=x+d; 
           if (u-a < tol2 || b-u < tol2) 
 /************* Waves Concatenation ***************/            d=SIGN(tol1,xm-x); 
         } 
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)      } else { 
 {        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.      } 
      Death is a valid wave (if date is known).      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i      fu=(*f)(u); 
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]      if (fu <= fx) { 
      and mw[mi+1][i]. dh depends on stepm.        if (u >= x) a=x; else b=x; 
      */        SHFT(v,w,x,u) 
         SHFT(fv,fw,fx,fu) 
   int i, mi, m;      } else { 
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;        if (u < x) a=u; else b=u; 
      double sum=0., jmean=0.;*/        if (fu <= fw || w == x) { 
           v=w; 
   int j, k=0,jk, ju, jl;          w=u; 
   double sum=0.;          fv=fw; 
   jmin=1e+5;          fw=fu; 
   jmax=-1;        } else if (fu <= fv || v == x || v == w) { 
   jmean=0.;          v=u; 
   for(i=1; i<=imx; i++){          fv=fu; 
     mi=0;        } 
     m=firstpass;      } 
     while(s[m][i] <= nlstate){    } 
       if(s[m][i]>=1)    nrerror("Too many iterations in brent"); 
         mw[++mi][i]=m;    *xmin=x; 
       if(m >=lastpass)    return fx; 
         break;  } 
       else  
         m++;  /****************** mnbrak ***********************/
     }/* end while */  
     if (s[m][i] > nlstate){  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
       mi++;     /* Death is another wave */              double (*func)(double)) 
       /* if(mi==0)  never been interviewed correctly before death */  { /* Given a function func , and given distinct initial points ax and bx , this routine searches in
          /* Only death is a correct wave */  the downhill direction (defined by the function as evaluated at the initial points) and returns
       mw[mi][i]=m;  new points ax , bx , cx that bracket a minimum of the function. Also returned are the function
     }  values at the three points, fa, fb , and fc such that fa > fb and fb < fc.
      */
     wav[i]=mi;    double ulim,u,r,q, dum;
     if(mi==0)    double fu; 
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);  
   }    double scale=10.;
     int iterscale=0;
   for(i=1; i<=imx; i++){  
     for(mi=1; mi<wav[i];mi++){    *fa=(*func)(*ax); /*  xta[j]=pcom[j]+(*ax)*xicom[j]; fa=f(xta[j])*/
       if (stepm <=0)    *fb=(*func)(*bx); /*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) */
         dh[mi][i]=1;  
       else{  
         if (s[mw[mi+1][i]][i] > nlstate) {    /* while(*fb != *fb){ /\* *ax should be ok, reducing distance to *ax *\/ */
           if (agedc[i] < 2*AGESUP) {    /*   printf("Warning mnbrak *fb = %lf, *bx=%lf *ax=%lf *fa==%lf iter=%d\n",*fb, *bx, *ax, *fa, iterscale++); */
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);    /*   *bx = *ax - (*ax - *bx)/scale; */
           if(j==0) j=1;  /* Survives at least one month after exam */    /*   *fb=(*func)(*bx);  /\*  xtb[j]=pcom[j]+(*bx)*xicom[j]; fb=f(xtb[j]) *\/ */
           k=k+1;    /* } */
           if (j >= jmax) jmax=j;  
           if (j <= jmin) jmin=j;    if (*fb > *fa) { 
           sum=sum+j;      SHFT(dum,*ax,*bx,dum) 
           /*if (j<0) printf("j=%d num=%d \n",j,i); */      SHFT(dum,*fb,*fa,dum) 
           }    } 
         }    *cx=(*bx)+GOLD*(*bx-*ax); 
         else{    *fc=(*func)(*cx); 
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));  #ifdef DEBUG
           k=k+1;    printf("mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
           if (j >= jmax) jmax=j;    fprintf(ficlog,"mnbrak0 *fb=%.12e *fc=%.12e\n",*fb,*fc);
           else if (j <= jmin)jmin=j;  #endif
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */    while (*fb > *fc) { /* Declining a,b,c with fa> fb > fc */
           sum=sum+j;      r=(*bx-*ax)*(*fb-*fc); 
         }      q=(*bx-*cx)*(*fb-*fa); 
         jk= j/stepm;      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
         jl= j -jk*stepm;        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); /* Minimum abscissa of a parabolic estimated from (a,fa), (b,fb) and (c,fc). */
         ju= j -(jk+1)*stepm;      ulim=(*bx)+GLIMIT*(*cx-*bx); /* Maximum abscissa where function should be evaluated */
         if(jl <= -ju)      if ((*bx-u)*(u-*cx) > 0.0) { /* if u_p is between b and c */
           dh[mi][i]=jk;        fu=(*func)(u); 
         else  #ifdef DEBUG
           dh[mi][i]=jk+1;        /* f(x)=A(x-u)**2+f(u) */
         if(dh[mi][i]==0)        double A, fparabu; 
           dh[mi][i]=1; /* At least one step */        A= (*fb - *fa)/(*bx-*ax)/(*bx+*ax-2*u);
       }        fparabu= *fa - A*(*ax-u)*(*ax-u);
     }        printf("mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
   }        fprintf(ficlog, "mnbrak (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf, fparabu=%.12f)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu, fparabu);
   jmean=sum/k;        /* And thus,it can be that fu > *fc even if fparabu < *fc */
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);        /* mnbrak (*ax=7.666299858533, *fa=299039.693133272231), (*bx=8.595447774979, *fb=298976.598289369489),
  }          (*cx=10.098840694817, *fc=298946.631474258087),  (*u=9.852501168332, fu=298948.773013752128, fparabu=298945.434711494134) */
 /*********** Tricode ****************************/        /* In that case, there is no bracket in the output! Routine is wrong with many consequences.*/
 void tricode(int *Tvar, int **nbcode, int imx)  #endif 
 {  #ifdef MNBRAKORIGINAL
   int Ndum[20],ij=1, k, j, i;  #else
   int cptcode=0;  /*       if (fu > *fc) { */
   cptcoveff=0;  /* #ifdef DEBUG */
    /*       printf("mnbrak4  fu > fc \n"); */
   for (k=0; k<19; k++) Ndum[k]=0;  /*       fprintf(ficlog, "mnbrak4 fu > fc\n"); */
   for (k=1; k<=7; k++) ncodemax[k]=0;  /* #endif */
   /*      /\* SHFT(u,*cx,*cx,u) /\\* ie a=c, c=u and u=c; in that case, next SHFT(a,b,c,u) will give a=b=b, b=c=u, c=u=c and *\\/  *\/ */
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {  /*      /\* SHFT(*fa,*fc,fu,*fc) /\\* (b, u, c) is a bracket while test fb > fc will be fu > fc  will exit *\\/ *\/ */
     for (i=1; i<=imx; i++) {  /*      dum=u; /\* Shifting c and u *\/ */
       ij=(int)(covar[Tvar[j]][i]);  /*      u = *cx; */
       Ndum[ij]++;  /*      *cx = dum; */
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/  /*      dum = fu; */
       if (ij > cptcode) cptcode=ij;  /*      fu = *fc; */
     }  /*      *fc =dum; */
   /*       } else { /\* end *\/ */
     for (i=0; i<=cptcode; i++) {  /* #ifdef DEBUG */
       if(Ndum[i]!=0) ncodemax[j]++;  /*       printf("mnbrak3  fu < fc \n"); */
     }  /*       fprintf(ficlog, "mnbrak3 fu < fc\n"); */
     ij=1;  /* #endif */
   /*      dum=u; /\* Shifting c and u *\/ */
   /*      u = *cx; */
     for (i=1; i<=ncodemax[j]; i++) {  /*      *cx = dum; */
       for (k=0; k<=19; k++) {  /*      dum = fu; */
         if (Ndum[k] != 0) {  /*      fu = *fc; */
           nbcode[Tvar[j]][ij]=k;  /*      *fc =dum; */
            /*       } */
           ij++;  #ifdef DEBUG
         }        printf("mnbrak34  fu < or >= fc \n");
         if (ij > ncodemax[j]) break;        fprintf(ficlog, "mnbrak34 fu < fc\n");
       }    #endif
     }        dum=u; /* Shifting c and u */
   }          u = *cx;
         *cx = dum;
  for (k=0; k<19; k++) Ndum[k]=0;        dum = fu;
         fu = *fc;
  for (i=1; i<=ncovmodel-2; i++) {        *fc =dum;
       ij=Tvar[i];  #endif
       Ndum[ij]++;      } else if ((*cx-u)*(u-ulim) > 0.0) { /* u is after c but before ulim */
     }  #ifdef DEBUG
         printf("mnbrak2  u after c but before ulim\n");
  ij=1;        fprintf(ficlog, "mnbrak2 u after c but before ulim\n");
  for (i=1; i<=10; i++) {  #endif
    if((Ndum[i]!=0) && (i<=ncovcol)){        fu=(*func)(u); 
      Tvaraff[ij]=i;        if (fu < *fc) { 
      ij++;  #ifdef DEBUG
    }        printf("mnbrak2  u after c but before ulim AND fu < fc\n");
  }        fprintf(ficlog, "mnbrak2 u after c but before ulim AND fu <fc \n");
    #endif
     cptcoveff=ij-1;          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
 }          SHFT(*fb,*fc,fu,(*func)(u)) 
         } 
 /*********** Health Expectancies ****************/      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { /* u outside ulim (verifying that ulim is beyond c) */
   #ifdef DEBUG
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov )        printf("mnbrak2  u outside ulim (verifying that ulim is beyond c)\n");
         fprintf(ficlog, "mnbrak2 u outside ulim (verifying that ulim is beyond c)\n");
 {  #endif
   /* Health expectancies */        u=ulim; 
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;        fu=(*func)(u); 
   double age, agelim, hf;      } else { /* u could be left to b (if r > q parabola has a maximum) */
   double ***p3mat,***varhe;  #ifdef DEBUG
   double **dnewm,**doldm;        printf("mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
   double *xp;        fprintf(ficlog, "mnbrak2  u could be left to b (if r > q parabola has a maximum)\n");
   double **gp, **gm;  #endif
   double ***gradg, ***trgradg;        u=(*cx)+GOLD*(*cx-*bx); 
   int theta;        fu=(*func)(u); 
       } /* end tests */
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);      SHFT(*ax,*bx,*cx,u) 
   xp=vector(1,npar);      SHFT(*fa,*fb,*fc,fu) 
   dnewm=matrix(1,nlstate*2,1,npar);  #ifdef DEBUG
   doldm=matrix(1,nlstate*2,1,nlstate*2);        printf("mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
          fprintf(ficlog, "mnbrak2 (*ax=%.12f, *fa=%.12lf), (*bx=%.12f, *fb=%.12lf), (*cx=%.12f, *fc=%.12lf),  (*u=%.12f, fu=%.12lf)\n",*ax,*fa,*bx,*fb,*cx,*fc,u,fu);
   fprintf(ficreseij,"# Health expectancies\n");  #endif
   fprintf(ficreseij,"# Age");    } /* end while; ie return (a, b, c, fa, fb, fc) such that a < b < c with f(a) > f(b) and fb < f(c) */
   for(i=1; i<=nlstate;i++)  } 
     for(j=1; j<=nlstate;j++)  
       fprintf(ficreseij," %1d-%1d (SE)",i,j);  /*************** linmin ************************/
   fprintf(ficreseij,"\n");  /* Given an n -dimensional point p[1..n] and an n -dimensional direction xi[1..n] , moves and
   resets p to where the function func(p) takes on a minimum along the direction xi from p ,
   if(estepm < stepm){  and replaces xi by the actual vector displacement that p was moved. Also returns as fret
     printf ("Problem %d lower than %d\n",estepm, stepm);  the value of func at the returned location p . This is actually all accomplished by calling the
   }  routines mnbrak and brent .*/
   else  hstepm=estepm;    int ncom; 
   /* We compute the life expectancy from trapezoids spaced every estepm months  double *pcom,*xicom;
    * This is mainly to measure the difference between two models: for example  double (*nrfunc)(double []); 
    * if stepm=24 months pijx are given only every 2 years and by summing them   
    * we are calculating an estimate of the Life Expectancy assuming a linear  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
    * progression inbetween and thus overestimating or underestimating according  { 
    * to the curvature of the survival function. If, for the same date, we    double brent(double ax, double bx, double cx, 
    * estimate the model with stepm=1 month, we can keep estepm to 24 months                 double (*f)(double), double tol, double *xmin); 
    * to compare the new estimate of Life expectancy with the same linear    double f1dim(double x); 
    * hypothesis. A more precise result, taking into account a more precise    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
    * curvature will be obtained if estepm is as small as stepm. */                double *fc, double (*func)(double)); 
     int j; 
   /* For example we decided to compute the life expectancy with the smallest unit */    double xx,xmin,bx,ax; 
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.    double fx,fb,fa;
      nhstepm is the number of hstepm from age to agelim  
      nstepm is the number of stepm from age to agelin.    double scale=10., axs, xxs, xxss; /* Scale added for infinity */
      Look at hpijx to understand the reason of that which relies in memory size   
      and note for a fixed period like estepm months */    ncom=n; 
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the    pcom=vector(1,n); 
      survival function given by stepm (the optimization length). Unfortunately it    xicom=vector(1,n); 
      means that if the survival funtion is printed only each two years of age and if    nrfunc=func; 
      you sum them up and add 1 year (area under the trapezoids) you won't get the same    for (j=1;j<=n;j++) { 
      results. So we changed our mind and took the option of the best precision.      pcom[j]=p[j]; 
   */      xicom[j]=xi[j]; 
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */    } 
   
   agelim=AGESUP;    /* axs=0.0; */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    /* xxss=1; /\* 1 and using scale *\/ */
     /* nhstepm age range expressed in number of stepm */    xxs=1;
     nstepm=(int) rint((agelim-age)*YEARM/stepm);    /* do{ */
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */      ax=0.;
     /* if (stepm >= YEARM) hstepm=1;*/      xx= xxs;
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);  /* Outputs: xtx[j]=pcom[j]+(*xx)*xicom[j]; fx=f(xtx[j]) */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      /* brackets with inputs ax=0 and xx=1, but points, pcom=p, and directions values, xicom=xi, are sent via f1dim(x) */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);      /* xt[x,j]=pcom[j]+x*xicom[j]  f(ax) = f(xt(a,j=1,n)) = f(p(j) + 0 * xi(j)) and  f(xx) = f(xt(x, j=1,n)) = f(p(j) + 1 * xi(j))   */
     gp=matrix(0,nhstepm,1,nlstate*2);      /* Outputs: fa=f(p(j)) and fx=f(p(j) + xxs * xi(j) ) and f(bx)= f(p(j)+ bx* xi(j)) */
     gm=matrix(0,nhstepm,1,nlstate*2);      /* Given input ax=axs and xx=xxs, xx might be too far from ax to get a finite f(xx) */
       /* Searches on line, outputs (ax, xx, bx) such that fx < min(fa and fb) */
     /* Computed by stepm unit matrices, product of hstepm matrices, stored      /* Find a bracket a,x,b in direction n=xi ie xicom, order may change. Scale is [0:xxs*xi[j]] et non plus  [0:xi[j]]*/
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */    /*   if (fx != fx){ */
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);      /*    xxs=xxs/scale; /\* Trying a smaller xx, closer to initial ax=0 *\/ */
      /*    printf("\nLinmin NAN : input [axs=%lf:xxs=%lf], mnbrak outputs fx=%lf <(fb=%lf and fa=%lf) with xx=%lf in [ax=%lf:bx=%lf] \n",  axs, xxs, fx,fb, fa, xx, ax, bx); */
     /*   } */
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */    /* }while(fx != fx); */
   
     /* Computing Variances of health expectancies */  #ifdef DEBUGLINMIN
     printf("\nLinmin after mnbrak: ax=%12.7f xx=%12.7f bx=%12.7f fa=%12.2f fx=%12.2f fb=%12.2f\n",  ax,xx,bx,fa,fx,fb);
      for(theta=1; theta <=npar; theta++){  #endif
       for(i=1; i<=npar; i++){    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); /* Giving a bracketting triplet (ax, xx, bx), find a minimum, xmin, according to f1dim, *fret(xmin),*/
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    /* fa = f(p[j] + ax * xi[j]), fx = f(p[j] + xx * xi[j]), fb = f(p[j] + bx * xi[j]) */
       }    /* fmin = f(p[j] + xmin * xi[j]) */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      /* P+lambda n in that direction (lambdamin), with TOL between abscisses */
      /* f1dim(xmin): for (j=1;j<=ncom;j++) xt[j]=pcom[j]+xmin*xicom[j]; */
       cptj=0;  #ifdef DEBUG
       for(j=1; j<= nlstate; j++){    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
         for(i=1; i<=nlstate; i++){    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
           cptj=cptj+1;  #endif
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){  #ifdef DEBUGLINMIN
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;    printf("linmin end ");
           }  #endif
         }    for (j=1;j<=n;j++) { 
       }      /* printf(" before xi[%d]=%12.8f", j,xi[j]); */
            xi[j] *= xmin; /* xi rescaled by xmin: if xmin=-1.237 and xi=(1,0,...,0) xi=(-1.237,0,...,0) */
            /* if(xxs <1.0) */
       for(i=1; i<=npar; i++)      /*   printf(" after xi[%d]=%12.8f, xmin=%12.8f, ax=%12.8f, xx=%12.8f, bx=%12.8f, xxs=%12.8f", j,xi[j], xmin, ax, xx, bx,xxs ); */
         xp[i] = x[i] - (i==theta ?delti[theta]:0);      p[j] += xi[j]; /* Parameters values are updated accordingly */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      } 
          /* printf("\n"); */
       cptj=0;  #ifdef DEBUGLINMIN
       for(j=1; j<= nlstate; j++){    printf("Comparing last *frec(xmin=%12.8f)=%12.8f from Brent and frec(0.)=%12.8f \n", xmin, *fret, (*func)(p));
         for(i=1;i<=nlstate;i++){    for (j=1;j<=n;j++) { 
           cptj=cptj+1;      printf(" xi[%d]= %12.7f p[%d]= %12.7f",j,xi[j],j,p[j]);
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){      if(j % ncovmodel == 0)
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;        printf("\n");
           }    }
         }  #endif
       }    free_vector(xicom,1,n); 
       for(j=1; j<= nlstate*2; j++)    free_vector(pcom,1,n); 
         for(h=0; h<=nhstepm-1; h++){  } 
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];  
         }  
      }  /*************** powell ************************/
      /*
 /* End theta */  Minimization of a function func of n variables. Input consists of an initial starting point
   p[1..n] ; an initial matrix xi[1..n][1..n] , whose columns contain the initial set of di-
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);  rections (usually the n unit vectors); and ftol , the fractional tolerance in the function value
   such that failure to decrease by more than this amount on one iteration signals doneness. On
      for(h=0; h<=nhstepm-1; h++)  output, p is set to the best point found, xi is the then-current direction set, fret is the returned
       for(j=1; j<=nlstate*2;j++)  function value at p , and iter is the number of iterations taken. The routine linmin is used.
         for(theta=1; theta <=npar; theta++)   */
           trgradg[h][j][theta]=gradg[h][theta][j];  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
                    double (*func)(double [])) 
   { 
      for(i=1;i<=nlstate*2;i++)    void linmin(double p[], double xi[], int n, double *fret, 
       for(j=1;j<=nlstate*2;j++)                double (*func)(double [])); 
         varhe[i][j][(int)age] =0.;    int i,ibig,j; 
     double del,t,*pt,*ptt,*xit;
      printf("%d|",(int)age);fflush(stdout);    double directest;
      for(h=0;h<=nhstepm-1;h++){    double fp,fptt;
       for(k=0;k<=nhstepm-1;k++){    double *xits;
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);    int niterf, itmp;
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);  
         for(i=1;i<=nlstate*2;i++)    pt=vector(1,n); 
           for(j=1;j<=nlstate*2;j++)    ptt=vector(1,n); 
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;    xit=vector(1,n); 
       }    xits=vector(1,n); 
     }    *fret=(*func)(p); 
     /* Computing expectancies */    for (j=1;j<=n;j++) pt[j]=p[j]; 
     for(i=1; i<=nlstate;i++)      rcurr_time = time(NULL);  
       for(j=1; j<=nlstate;j++)    for (*iter=1;;++(*iter)) { 
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){      fp=(*fret); /* From former iteration or initial value */
           eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;      ibig=0; 
                del=0.0; 
 /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/      rlast_time=rcurr_time;
       /* (void) gettimeofday(&curr_time,&tzp); */
         }      rcurr_time = time(NULL);  
       curr_time = *localtime(&rcurr_time);
     fprintf(ficreseij,"%3.0f",age );      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, rcurr_time-rlast_time, rcurr_time-rstart_time);fflush(stdout);
     cptj=0;      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret,rcurr_time-rlast_time, rcurr_time-rstart_time); fflush(ficlog);
     for(i=1; i<=nlstate;i++)  /*     fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tm_sec-start_time.tm_sec); */
       for(j=1; j<=nlstate;j++){      for (i=1;i<=n;i++) {
         cptj++;        printf(" %d %.12f",i, p[i]);
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );        fprintf(ficlog," %d %.12lf",i, p[i]);
       }        fprintf(ficrespow," %.12lf", p[i]);
     fprintf(ficreseij,"\n");      }
          printf("\n");
     free_matrix(gm,0,nhstepm,1,nlstate*2);      fprintf(ficlog,"\n");
     free_matrix(gp,0,nhstepm,1,nlstate*2);      fprintf(ficrespow,"\n");fflush(ficrespow);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);      if(*iter <=3){
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);        tml = *localtime(&rcurr_time);
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        strcpy(strcurr,asctime(&tml));
   }        rforecast_time=rcurr_time; 
   printf("\n");        itmp = strlen(strcurr);
         if(strcurr[itmp-1]=='\n')  /* Windows outputs with a new line */
   free_vector(xp,1,npar);          strcurr[itmp-1]='\0';
   free_matrix(dnewm,1,nlstate*2,1,npar);        printf("\nConsidering the time needed for the last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,rcurr_time-rlast_time);
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);        for(niterf=10;niterf<=30;niterf+=10){
 }          rforecast_time=rcurr_time+(niterf-*iter)*(rcurr_time-rlast_time);
           forecast_time = *localtime(&rforecast_time);
 /************ Variance ******************/          strcpy(strfor,asctime(&forecast_time));
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm)          itmp = strlen(strfor);
 {          if(strfor[itmp-1]=='\n')
   /* Variance of health expectancies */          strfor[itmp-1]='\0';
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
   double **newm;          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s i.e.\n   on %s (current time is %s);\n",niterf, asc_diff_time(rforecast_time-rcurr_time,tmpout),strfor,strcurr);
   double **dnewm,**doldm;        }
   int i, j, nhstepm, hstepm, h, nstepm ;      }
   int k, cptcode;      for (i=1;i<=n;i++) { /* For each direction i */
   double *xp;        for (j=1;j<=n;j++) xit[j]=xi[j][i]; /* Directions stored from previous iteration with previous scales */
   double **gp, **gm;        fptt=(*fret); 
   double ***gradg, ***trgradg;  #ifdef DEBUG
   double ***p3mat;            printf("fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
   double age,agelim, hf;            fprintf(ficlog, "fret=%lf, %lf, %lf \n", *fret, *fret, *fret);
   int theta;  #endif
             printf("%d",i);fflush(stdout); /* print direction (parameter) i */
   fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are the stable prevalence in health states i\n");        fprintf(ficlog,"%d",i);fflush(ficlog);
   fprintf(ficresvij,"# Age");        linmin(p,xit,n,fret,func); /* Point p[n]. xit[n] has been loaded for direction i as input.*/
   for(i=1; i<=nlstate;i++)                                      /* Outputs are fret(new point p) p is updated and xit rescaled */
     for(j=1; j<=nlstate;j++)        if (fabs(fptt-(*fret)) > del) { /* We are keeping the max gain on each of the n directions */
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);          /* because that direction will be replaced unless the gain del is small */
   fprintf(ficresvij,"\n");          /* in comparison with the 'probable' gain, mu^2, with the last average direction. */
           /* Unless the n directions are conjugate some gain in the determinant may be obtained */
   xp=vector(1,npar);          /* with the new direction. */
   dnewm=matrix(1,nlstate,1,npar);          del=fabs(fptt-(*fret)); 
   doldm=matrix(1,nlstate,1,nlstate);          ibig=i; 
          } 
   if(estepm < stepm){  #ifdef DEBUG
     printf ("Problem %d lower than %d\n",estepm, stepm);        printf("%d %.12e",i,(*fret));
   }        fprintf(ficlog,"%d %.12e",i,(*fret));
   else  hstepm=estepm;          for (j=1;j<=n;j++) {
   /* For example we decided to compute the life expectancy with the smallest unit */          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.          printf(" x(%d)=%.12e",j,xit[j]);
      nhstepm is the number of hstepm from age to agelim          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
      nstepm is the number of stepm from age to agelin.        }
      Look at hpijx to understand the reason of that which relies in memory size        for(j=1;j<=n;j++) {
      and note for a fixed period like k years */          printf(" p(%d)=%.12e",j,p[j]);
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the          fprintf(ficlog," p(%d)=%.12e",j,p[j]);
      survival function given by stepm (the optimization length). Unfortunately it        }
      means that if the survival funtion is printed only each two years of age and if        printf("\n");
      you sum them up and add 1 year (area under the trapezoids) you won't get the same        fprintf(ficlog,"\n");
      results. So we changed our mind and took the option of the best precision.  #endif
   */      } /* end loop on each direction i */
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */      /* Convergence test will use last linmin estimation (fret) and compare former iteration (fp) */ 
   agelim = AGESUP;      /* But p and xit have been updated at the end of linmin, *fret corresponds to new p, xit  */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      /* New value of last point Pn is not computed, P(n-1) */
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) { /* Did we reach enough precision? */
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */        /* We could compare with a chi^2. chisquare(0.95,ddl=1)=3.84 */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        /* By adding age*age in a model, the new -2LL should be lower and the difference follows a */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);        /* a chisquare statistics with 1 degree. To be significant at the 95% level, it should have */
     gp=matrix(0,nhstepm,1,nlstate);        /* decreased of more than 3.84  */
     gm=matrix(0,nhstepm,1,nlstate);        /* By adding age*age and V1*age the gain (-2LL) should be more than 5.99 (ddl=2) */
         /* By using V1+V2+V3, the gain should be  7.82, compared with basic 1+age. */
     for(theta=1; theta <=npar; theta++){        /* By adding 10 parameters more the gain should be 18.31 */
       for(i=1; i<=npar; i++){ /* Computes gradient */  
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        /* Starting the program with initial values given by a former maximization will simply change */
       }        /* the scales of the directions and the directions, because the are reset to canonical directions */
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          /* Thus the first calls to linmin will give new points and better maximizations until fp-(*fret) is */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        /* under the tolerance value. If the tolerance is very small 1.e-9, it could last long.  */
   #ifdef DEBUG
       if (popbased==1) {        int k[2],l;
         for(i=1; i<=nlstate;i++)        k[0]=1;
           prlim[i][i]=probs[(int)age][i][ij];        k[1]=-1;
       }        printf("Max: %.12e",(*func)(p));
          fprintf(ficlog,"Max: %.12e",(*func)(p));
       for(j=1; j<= nlstate; j++){        for (j=1;j<=n;j++) {
         for(h=0; h<=nhstepm; h++){          printf(" %.12e",p[j]);
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)          fprintf(ficlog," %.12e",p[j]);
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];        }
         }        printf("\n");
       }        fprintf(ficlog,"\n");
            for(l=0;l<=1;l++) {
       for(i=1; i<=npar; i++) /* Computes gradient */          for (j=1;j<=n;j++) {
         xp[i] = x[i] - (i==theta ?delti[theta]:0);            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);              printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
            }
       if (popbased==1) {          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         for(i=1; i<=nlstate;i++)          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
           prlim[i][i]=probs[(int)age][i][ij];        }
       }  #endif
   
       for(j=1; j<= nlstate; j++){  
         for(h=0; h<=nhstepm; h++){        free_vector(xit,1,n); 
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)        free_vector(xits,1,n); 
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];        free_vector(ptt,1,n); 
         }        free_vector(pt,1,n); 
       }        return; 
       } /* enough precision */ 
       for(j=1; j<= nlstate; j++)      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
         for(h=0; h<=nhstepm; h++){      for (j=1;j<=n;j++) { /* Computes the extrapolated point P_0 + 2 (P_n-P_0) */
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];        ptt[j]=2.0*p[j]-pt[j]; 
         }        xit[j]=p[j]-pt[j]; 
     } /* End theta */        pt[j]=p[j]; 
       } 
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);      fptt=(*func)(ptt); /* f_3 */
   #ifdef POWELLF1F3
     for(h=0; h<=nhstepm; h++)  #else
       for(j=1; j<=nlstate;j++)      if (fptt < fp) { /* If extrapolated point is better, decide if we keep that new direction or not */
         for(theta=1; theta <=npar; theta++)  #endif
           trgradg[h][j][theta]=gradg[h][theta][j];        /* (x1 f1=fp), (x2 f2=*fret), (x3 f3=fptt), (xm fm) */
         /* From x1 (P0) distance of x2 is at h and x3 is 2h */
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */        /* Let f"(x2) be the 2nd derivative equal everywhere.  */
     for(i=1;i<=nlstate;i++)        /* Then the parabolic through (x1,f1), (x2,f2) and (x3,f3) */
       for(j=1;j<=nlstate;j++)        /* will reach at f3 = fm + h^2/2 f"m  ; f" = (f1 -2f2 +f3 ) / h**2 */
         vareij[i][j][(int)age] =0.;        /* Conditional for using this new direction is that mu^2 = (f1-2f2+f3)^2 /2 < del */
         /* t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); */
     for(h=0;h<=nhstepm;h++){  #ifdef NRCORIGINAL
       for(k=0;k<=nhstepm;k++){        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)- del*SQR(fp-fptt); /* Original Numerical Recipes in C*/
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);  #else
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del); /* Intel compiler doesn't work on one line; bug reported */
         for(i=1;i<=nlstate;i++)        t= t- del*SQR(fp-fptt);
           for(j=1;j<=nlstate;j++)  #endif
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;        directest = fp-2.0*(*fret)+fptt - 2.0 * del; /* If del was big enough we change it for a new direction */
       }  #ifdef DEBUG
     }        printf("t1= %.12lf, t2= %.12lf, t=%.12lf  directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
         fprintf(ficlog,"t1= %.12lf, t2= %.12lf, t=%.12lf directest=%.12lf\n", 2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del),del*SQR(fp-fptt),t,directest);
     fprintf(ficresvij,"%.0f ",age );        printf("t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
     for(i=1; i<=nlstate;i++)               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
       for(j=1; j<=nlstate;j++){        fprintf(ficlog,"t3= %.12lf, t4= %.12lf, t3*= %.12lf, t4*= %.12lf\n",SQR(fp-(*fret)-del),SQR(fp-fptt),
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);               (fp-(*fret)-del)*(fp-(*fret)-del),(fp-fptt)*(fp-fptt));
       }        printf("tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
     fprintf(ficresvij,"\n");        fprintf(ficlog, "tt= %.12lf, t=%.12lf\n",2.0*(fp-2.0*(*fret)+fptt)*(fp-(*fret)-del)*(fp-(*fret)-del)-del*(fp-fptt)*(fp-fptt),t);
     free_matrix(gp,0,nhstepm,1,nlstate);  #endif
     free_matrix(gm,0,nhstepm,1,nlstate);  #ifdef POWELLORIGINAL
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);        if (t < 0.0) { /* Then we use it for new direction */
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);  #else
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        if (directest*t < 0.0) { /* Contradiction between both tests */
   } /* End age */          printf("directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt,del);
            printf("f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
   free_vector(xp,1,npar);          fprintf(ficlog,"directest= %.12lf, t= %.12lf, f1= %.12lf,f2= %.12lf,f3= %.12lf, del= %.12lf\n",directest, t, fp,(*fret),fptt, del);
   free_matrix(doldm,1,nlstate,1,npar);          fprintf(ficlog,"f1-2f2+f3= %.12lf, f1-f2-del= %.12lf, f1-f3= %.12lf\n",fp-2.0*(*fret)+fptt, fp -(*fret) -del, fp-fptt);
   free_matrix(dnewm,1,nlstate,1,nlstate);        } 
         if (directest < 0.0) { /* Then we use it for new direction */
 }  #endif
   #ifdef DEBUGLINMIN
 /************ Variance of prevlim ******************/          printf("Before linmin in direction P%d-P0\n",n);
 void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)          for (j=1;j<=n;j++) { 
 {            printf("Before xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
   /* Variance of prevalence limit */            if(j % ncovmodel == 0)
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/              printf("\n");
   double **newm;          }
   double **dnewm,**doldm;  #endif
   int i, j, nhstepm, hstepm;          linmin(p,xit,n,fret,func); /* computes minimum on the extrapolated direction: changes p and rescales xit.*/
   int k, cptcode;  #ifdef DEBUGLINMIN
   double *xp;          for (j=1;j<=n;j++) { 
   double *gp, *gm;            printf("After xit[%d]= %12.7f p[%d]= %12.7f",j,xit[j],j,p[j]);
   double **gradg, **trgradg;            if(j % ncovmodel == 0)
   double age,agelim;              printf("\n");
   int theta;          }
      #endif
   fprintf(ficresvpl,"# Standard deviation of prevalence's limit\n");          for (j=1;j<=n;j++) { 
   fprintf(ficresvpl,"# Age");            xi[j][ibig]=xi[j][n]; /* Replace direction with biggest decrease by last direction n */
   for(i=1; i<=nlstate;i++)            xi[j][n]=xit[j];      /* and this nth direction by the by the average p_0 p_n */
       fprintf(ficresvpl," %1d-%1d",i,i);          }
   fprintf(ficresvpl,"\n");          printf("Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
           fprintf(ficlog,"Gaining to use new average direction of P0 P%d instead of biggest increase direction %d :\n",n,ibig);
   xp=vector(1,npar);  
   dnewm=matrix(1,nlstate,1,npar);  #ifdef DEBUG
   doldm=matrix(1,nlstate,1,nlstate);          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
            fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   hstepm=1*YEARM; /* Every year of age */          for(j=1;j<=n;j++){
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */            printf(" %.12e",xit[j]);
   agelim = AGESUP;            fprintf(ficlog," %.12e",xit[j]);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          }
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          printf("\n");
     if (stepm >= YEARM) hstepm=1;          fprintf(ficlog,"\n");
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */  #endif
     gradg=matrix(1,npar,1,nlstate);        } /* end of t or directest negative */
     gp=vector(1,nlstate);  #ifdef POWELLF1F3
     gm=vector(1,nlstate);  #else
       } /* end if (fptt < fp)  */
     for(theta=1; theta <=npar; theta++){  #endif
       for(i=1; i<=npar; i++){ /* Computes gradient */    } /* loop iteration */ 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);  } 
       }  
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  /**** Prevalence limit (stable or period prevalence)  ****************/
       for(i=1;i<=nlstate;i++)  
         gp[i] = prlim[i][i];  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
      {
       for(i=1; i<=npar; i++) /* Computes gradient */    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
         xp[i] = x[i] - (i==theta ?delti[theta]:0);       matrix by transitions matrix until convergence is reached */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    
       for(i=1;i<=nlstate;i++)    int i, ii,j,k;
         gm[i] = prlim[i][i];    double min, max, maxmin, maxmax,sumnew=0.;
     /* double **matprod2(); */ /* test */
       for(i=1;i<=nlstate;i++)    double **out, cov[NCOVMAX+1], **pmij();
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    double **newm;
     } /* End theta */    double agefin, delaymax=50 ; /* Max number of years to converge */
     
     trgradg =matrix(1,nlstate,1,npar);    for (ii=1;ii<=nlstate+ndeath;ii++)
       for (j=1;j<=nlstate+ndeath;j++){
     for(j=1; j<=nlstate;j++)        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
       for(theta=1; theta <=npar; theta++)      }
         trgradg[j][theta]=gradg[theta][j];    
     cov[1]=1.;
     for(i=1;i<=nlstate;i++)    
       varpl[i][(int)age] =0.;    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);      newm=savm;
     for(i=1;i<=nlstate;i++)      /* Covariates have to be included here again */
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */      cov[2]=agefin;
       if(nagesqr==1)
     fprintf(ficresvpl,"%.0f ",age );        cov[3]= agefin*agefin;;
     for(i=1; i<=nlstate;i++)      for (k=1; k<=cptcovn;k++) {
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));        /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
     fprintf(ficresvpl,"\n");        cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
     free_vector(gp,1,nlstate);        /* printf("prevalim ij=%d k=%d Tvar[%d]=%d nbcode=%d cov=%lf codtabm(%d,Tvar[%d])=%d \n",ij,k, k, Tvar[k],nbcode[Tvar[k]][codtabm(ij,Tvar[k])],cov[2+k], ij, k, codtabm(ij,Tvar[k])]); */
     free_vector(gm,1,nlstate);      }
     free_matrix(gradg,1,npar,1,nlstate);      /*wrong? for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
     free_matrix(trgradg,1,nlstate,1,npar);      /* for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]*cov[2]; */
   } /* End age */      for (k=1; k<=cptcovage;k++) cov[2+nagesqr+Tage[k]]=nbcode[Tvar[k]][codtabm(ij,k)]*cov[2];
       for (k=1; k<=cptcovprod;k++) /* Useless */
   free_vector(xp,1,npar);        /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])] * nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
   free_matrix(doldm,1,nlstate,1,npar);        cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)] * nbcode[Tvard[k][2]][codtabm(ij,k)];
   free_matrix(dnewm,1,nlstate,1,nlstate);      
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
 }      /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
 /************ Variance of one-step probabilities  ******************/      /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
 void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)      /* out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /\* Bug Valgrind *\/ */
 {      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm); /* Bug Valgrind */
   int i, j,  i1, k1, l1;      
   int k2, l2, j1,  z1;      savm=oldm;
   int k=0,l, cptcode;      oldm=newm;
   int first=1;      maxmax=0.;
   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2;      for(j=1;j<=nlstate;j++){
   double **dnewm,**doldm;        min=1.;
   double *xp;        max=0.;
   double *gp, *gm;        for(i=1; i<=nlstate; i++) {
   double **gradg, **trgradg;          sumnew=0;
   double **mu;          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   double age,agelim, cov[NCOVMAX];          prlim[i][j]= newm[i][j]/(1-sumnew);
   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */          /*printf(" prevalim i=%d, j=%d, prmlim[%d][%d]=%f, agefin=%d \n", i, j, i, j, prlim[i][j],(int)agefin);*/
   int theta;          max=FMAX(max,prlim[i][j]);
   char fileresprob[FILENAMELENGTH];          min=FMIN(min,prlim[i][j]);
   char fileresprobcov[FILENAMELENGTH];        }
   char fileresprobcor[FILENAMELENGTH];        maxmin=max-min;
         maxmax=FMAX(maxmax,maxmin);
   double ***varpij;      } /* j loop */
       if(maxmax < ftolpl){
   strcpy(fileresprob,"prob");        return prlim;
   strcat(fileresprob,fileres);      }
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {    } /* age loop */
     printf("Problem with resultfile: %s\n", fileresprob);    return prlim; /* should not reach here */
   }  }
   strcpy(fileresprobcov,"probcov");  
   strcat(fileresprobcov,fileres);  /*************** transition probabilities ***************/ 
   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {  
     printf("Problem with resultfile: %s\n", fileresprobcov);  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
   }  {
   strcpy(fileresprobcor,"probcor");    /* According to parameters values stored in x and the covariate's values stored in cov,
   strcat(fileresprobcor,fileres);       computes the probability to be observed in state j being in state i by appying the
   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {       model to the ncovmodel covariates (including constant and age).
     printf("Problem with resultfile: %s\n", fileresprobcor);       lnpijopii=ln(pij/pii)= aij+bij*age+cij*v1+dij*v2+... = sum_nc=1^ncovmodel xij(nc)*cov[nc]
   }       and, according on how parameters are entered, the position of the coefficient xij(nc) of the
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);       ncth covariate in the global vector x is given by the formula:
   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);       j<i nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel
   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);       j>=i nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel
         Computes ln(pij/pii) (lnpijopii), deduces pij/pii by exponentiation,
   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");       sums on j different of i to get 1-pii/pii, deduces pii, and then all pij.
   fprintf(ficresprob,"# Age");       Outputs ps[i][j] the probability to be observed in j being in j according to
   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");       the values of the covariates cov[nc] and corresponding parameter values x[nc+shiftij]
   fprintf(ficresprobcov,"# Age");    */
   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");    double s1, lnpijopii;
   fprintf(ficresprobcov,"# Age");    /*double t34;*/
     int i,j, nc, ii, jj;
   
   for(i=1; i<=nlstate;i++)      for(i=1; i<= nlstate; i++){
     for(j=1; j<=(nlstate+ndeath);j++){        for(j=1; j<i;j++){
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
       fprintf(ficresprobcov," p%1d-%1d ",i,j);            /*lnpijopii += param[i][j][nc]*cov[nc];*/
       fprintf(ficresprobcor," p%1d-%1d ",i,j);            lnpijopii += x[nc+((i-1)*(nlstate+ndeath-1)+j-1)*ncovmodel]*cov[nc];
     }    /*       printf("Int j<i s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
   fprintf(ficresprob,"\n");          }
   fprintf(ficresprobcov,"\n");          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
   fprintf(ficresprobcor,"\n");  /*      printf("s1=%.17e, lnpijopii=%.17e\n",s1,lnpijopii); */
   xp=vector(1,npar);        }
   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);        for(j=i+1; j<=nlstate+ndeath;j++){
   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));          for (nc=1, lnpijopii=0.;nc <=ncovmodel; nc++){
   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);            /*lnpijopii += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];*/
   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);            lnpijopii += x[nc + ((i-1)*(nlstate+ndeath-1)+(j-2))*ncovmodel]*cov[nc];
   first=1;  /*        printf("Int j>i s1=%.17e, lnpijopii=%.17e %lx %lx\n",s1,lnpijopii,s1,lnpijopii); */
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {          }
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);          ps[i][j]=lnpijopii; /* In fact ln(pij/pii) */
     exit(0);        }
   }      }
   else{      
     fprintf(ficgp,"\n# Routine varprob");      for(i=1; i<= nlstate; i++){
   }        s1=0;
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {        for(j=1; j<i; j++){
     printf("Problem with html file: %s\n", optionfilehtm);          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
     exit(0);          /*printf("debug1 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
   }        }
   else{        for(j=i+1; j<=nlstate+ndeath; j++){
     fprintf(fichtm,"\n<H2> Computing matrix of variance-covariance of step probabilities</h2>\n");          s1+=exp(ps[i][j]); /* In fact sums pij/pii */
     fprintf(fichtm,"\n<br> We have drawn ellipsoids of confidence around the p<inf>ij</inf>, p<inf>kl</inf> to understand the covariance between two incidences. They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");          /*printf("debug2 %d %d ps=%lf exp(ps)=%lf s1+=%lf\n",i,j,ps[i][j],exp(ps[i][j]),s1); */
     fprintf(fichtm,"\n<br> We have drawn x'cov<sup>-1</sup>x = 4 where x is the column vector (pij,pkl). It means that if pij and pkl where uncorrelated the (2X2) matrix would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 standard deviations wide on each axis. <br> When both incidences are correlated we diagonalised the inverse of the covariance matrix and made the appropriate rotation.<br> \n");        }
         /* s1= sum_{j<>i} pij/pii=(1-pii)/pii and thus pii is known from s1 */
   }        ps[i][i]=1./(s1+1.);
   cov[1]=1;        /* Computing other pijs */
   j=cptcoveff;        for(j=1; j<i; j++)
   if (cptcovn<1) {j=1;ncodemax[1]=1;}          ps[i][j]= exp(ps[i][j])*ps[i][i];
   j1=0;        for(j=i+1; j<=nlstate+ndeath; j++)
   for(k1=1; k1<=1;k1++){          ps[i][j]= exp(ps[i][j])*ps[i][i];
     for(i1=1; i1<=ncodemax[k1];i1++){        /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     j1++;      } /* end i */
       
     if  (cptcovn>0) {      for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       fprintf(ficresprob, "\n#********** Variable ");        for(jj=1; jj<= nlstate+ndeath; jj++){
       fprintf(ficresprobcov, "\n#********** Variable ");          ps[ii][jj]=0;
       fprintf(ficgp, "\n#********** Variable ");          ps[ii][ii]=1;
       fprintf(fichtm, "\n<h4>********** Variable</h4>\n ");        }
       fprintf(ficresprobcor, "\n#********** Variable ");      }
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      
       fprintf(ficresprob, "**********\n#");      
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /* for(ii=1; ii<= nlstate+ndeath; ii++){ */
       fprintf(ficresprobcov, "**********\n#");      /*   for(jj=1; jj<= nlstate+ndeath; jj++){ */
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /*  printf(" pmij  ps[%d][%d]=%lf ",ii,jj,ps[ii][jj]); */
       fprintf(ficgp, "**********\n#");      /*   } */
       for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, "# V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /*   printf("\n "); */
       fprintf(ficgp, "**********\n#");      /* } */
       for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      /* printf("\n ");printf("%lf ",cov[2]);*/
       fprintf(fichtm, "**********\n#");      /*
     }        for(i=1; i<= npar; i++) printf("%f ",x[i]);
            goto end;*/
       for (age=bage; age<=fage; age ++){      return ps;
         cov[2]=age;  }
         for (k=1; k<=cptcovn;k++) {  
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];  /**************** Product of 2 matrices ******************/
         }  
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];  double **matprod2(double **out, double **in,int nrl, int nrh, int ncl, int nch, int ncolol, int ncoloh, double **b)
         for (k=1; k<=cptcovprod;k++)  {
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
               b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));    /* in, b, out are matrice of pointers which should have been initialized 
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);       before: only the contents of out is modified. The function returns
         gp=vector(1,(nlstate)*(nlstate+ndeath));       a pointer to pointers identical to out */
         gm=vector(1,(nlstate)*(nlstate+ndeath));    int i, j, k;
        for(i=nrl; i<= nrh; i++)
         for(theta=1; theta <=npar; theta++){      for(k=ncolol; k<=ncoloh; k++){
           for(i=1; i<=npar; i++)        out[i][k]=0.;
             xp[i] = x[i] + (i==theta ?delti[theta]:0);        for(j=ncl; j<=nch; j++)
                    out[i][k] +=in[i][j]*b[j][k];
           pmij(pmmij,cov,ncovmodel,xp,nlstate);      }
              return out;
           k=0;  }
           for(i=1; i<= (nlstate); i++){  
             for(j=1; j<=(nlstate+ndeath);j++){  
               k=k+1;  /************* Higher Matrix Product ***************/
               gp[k]=pmmij[i][j];  
             }  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
           }  {
              /* Computes the transition matrix starting at age 'age' over 
           for(i=1; i<=npar; i++)       'nhstepm*hstepm*stepm' months (i.e. until
             xp[i] = x[i] - (i==theta ?delti[theta]:0);       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
           nhstepm*hstepm matrices. 
           pmij(pmmij,cov,ncovmodel,xp,nlstate);       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
           k=0;       (typically every 2 years instead of every month which is too big 
           for(i=1; i<=(nlstate); i++){       for the memory).
             for(j=1; j<=(nlstate+ndeath);j++){       Model is determined by parameters x and covariates have to be 
               k=k+1;       included manually here. 
               gm[k]=pmmij[i][j];  
             }       */
           }  
          int i, j, d, h, k;
           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++)    double **out, cov[NCOVMAX+1];
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];      double **newm;
         }    double agexact;
   
         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)    /* Hstepm could be zero and should return the unit matrix */
           for(theta=1; theta <=npar; theta++)    for (i=1;i<=nlstate+ndeath;i++)
             trgradg[j][theta]=gradg[theta][j];      for (j=1;j<=nlstate+ndeath;j++){
                oldm[i][j]=(i==j ? 1.0 : 0.0);
         matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov);        po[i][j][0]=(i==j ? 1.0 : 0.0);
         matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);      }
            /* Even if hstepm = 1, at least one multiplication by the unit matrix */
         pmij(pmmij,cov,ncovmodel,x,nlstate);    for(h=1; h <=nhstepm; h++){
              for(d=1; d <=hstepm; d++){
         k=0;        newm=savm;
         for(i=1; i<=(nlstate); i++){        /* Covariates have to be included here again */
           for(j=1; j<=(nlstate+ndeath);j++){        cov[1]=1.;
             k=k+1;        agexact=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
             mu[k][(int) age]=pmmij[i][j];        cov[2]=agexact;
           }        if(nagesqr==1)
         }          cov[3]= agexact*agexact;
         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)        for (k=1; k<=cptcovn;k++) 
           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)          cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,k)];
             varpij[i][j][(int)age] = doldm[i][j];          /* cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
         for (k=1; k<=cptcovage;k++) /* Should start at cptcovn+1 */
         /*printf("\n%d ",(int)age);          /* cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
      for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){          cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));          /* cov[2+nagesqr+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k]])]*cov[2]; */
      }*/        for (k=1; k<=cptcovprod;k++) /* Useless because included in cptcovn */
           cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
         fprintf(ficresprob,"\n%d ",(int)age);          /* cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,Tvard[k][1])]*nbcode[Tvard[k][2]][codtabm(ij,Tvard[k][2])]; */
         fprintf(ficresprobcov,"\n%d ",(int)age);  
         fprintf(ficresprobcor,"\n%d ",(int)age);  
         /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){                     pmij(pmmij,cov,ncovmodel,x,nlstate));
           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);        savm=oldm;
           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);        oldm=newm;
         }      }
         i=0;      for(i=1; i<=nlstate+ndeath; i++)
         for (k=1; k<=(nlstate);k++){        for(j=1;j<=nlstate+ndeath;j++) {
           for (l=1; l<=(nlstate+ndeath);l++){          po[i][j][h]=newm[i][j];
             i=i++;          /*if(h==nhstepm) printf("po[%d][%d][%d]=%f ",i,j,h,po[i][j][h]);*/
             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);        }
             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);      /*printf("h=%d ",h);*/
             for (j=1; j<=i;j++){    } /* end h */
               fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);  /*     printf("\n H=%d \n",h); */
               fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));    return po;
             }  }
           }  
         }/* end of loop for state */  #ifdef NLOPT
       } /* end of loop for age */    double  myfunc(unsigned n, const double *p1, double *grad, void *pd){
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/    double fret;
       for (k1=1; k1<=(nlstate);k1++){    double *xt;
         for (l1=1; l1<=(nlstate+ndeath);l1++){    int j;
           if(l1==k1) continue;    myfunc_data *d2 = (myfunc_data *) pd;
           i=(k1-1)*(nlstate+ndeath)+l1;  /* xt = (p1-1); */
           for (k2=1; k2<=(nlstate);k2++){    xt=vector(1,n); 
             for (l2=1; l2<=(nlstate+ndeath);l2++){    for (j=1;j<=n;j++)   xt[j]=p1[j-1]; /* xt[1]=p1[0] */
               if(l2==k2) continue;  
               j=(k2-1)*(nlstate+ndeath)+l2;    fret=(d2->function)(xt); /*  p xt[1]@8 is fine */
               if(j<=i) continue;    /* fret=(*func)(xt); /\*  p xt[1]@8 is fine *\/ */
               for (age=bage; age<=fage; age ++){    printf("Function = %.12lf ",fret);
                 if ((int)age %5==0){    for (j=1;j<=n;j++) printf(" %d %.8lf", j, xt[j]); 
                   v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;    printf("\n");
                   v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;   free_vector(xt,1,n);
                   cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;    return fret;
                   mu1=mu[i][(int) age]/stepm*YEARM ;  }
                   mu2=mu[j][(int) age]/stepm*YEARM;  #endif
                   /* Computing eigen value of matrix of covariance */  
                   lc1=(v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12));  /*************** log-likelihood *************/
                   lc2=(v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12));  double func( double *x)
                   printf("Var %.4e %.4e cov %.4e Eigen %.3e %.3e\n",v1,v2,cv12,lc1,lc2);  {
                   /* Eigen vectors */    int i, ii, j, k, mi, d, kk;
                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
                   v21=sqrt(1.-v11*v11);    double **out;
                   v12=-v21;    double sw; /* Sum of weights */
                   v22=v11;    double lli; /* Individual log likelihood */
                   /*printf(fignu*/    int s1, s2;
                   /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */    double bbh, survp;
                   /* mu2+ v21*lc1*cost + v21*lc2*sin(t) */    long ipmx;
                   if(first==1){    double agexact;
                     first=0;    /*extern weight */
                     fprintf(ficgp,"\nset parametric;set nolabel");    /* We are differentiating ll according to initial status */
                     fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k2,l2,k1,l1);    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
                     fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");    /*for(i=1;i<imx;i++) 
                     fprintf(fichtm,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup> :<a href=\"varpijgr%s%1d%1d-%1d%1d.png\">varpijgr%s%1d%1d-%1d%1d.png</A>, ",k2,l2,k1,l1,optionfilefiname,k2,l2,k1,l1,optionfilefiname,k2,l2,k1,l1);      printf(" %d\n",s[4][i]);
                     fprintf(fichtm,"\n<br><img src=\"varpijgr%s%1d%1d-%1d%1d.png\">, ",optionfilefiname,k2,l2,k1,l1);    */
                     fprintf(ficgp,"\nset out \"varpijgr%s%1d%1d-%1d%1d.png\"",optionfilefiname,k2,l2,k1,l1);  
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);    ++countcallfunc;
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);  
                     fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(-%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) t \"%d\"",\    cov[1]=1.;
                             mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \  
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);    for(k=1; k<=nlstate; k++) ll[k]=0.;
                   }else{  
                     first=0;    if(mle==1){
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k2,l2,k1,l1);      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu2,mu1);        /* Computes the values of the ncovmodel covariates of the model
                     fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(-%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) t \"%d\"",\           depending if the covariates are fixed or variying (age dependent) and stores them in cov[]
                             mu2,std,v21,sqrt(lc1),v21,sqrt(lc2), \           Then computes with function pmij which return a matrix p[i][j] giving the elementary probability
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),(int) age);           to be observed in j being in i according to the model.
                   }/* if first */         */
                 } /* age mod 5 */        for (k=1; k<=cptcovn;k++){ /* Simple and product covariates without age* products */
               } /* end loop age */            cov[2+nagesqr+k]=covar[Tvar[k]][i];
               fprintf(ficgp,"\nset out \"varpijgr%s%1d%1d-%1d%1d.png\";replot;",optionfilefiname,k2,l2,k1,l1);        }
               first=1;        /* In model V2+V1*V4+age*V3+V3*V2 Tvar[1] is V2, Tvar[2=V1*V4] 
             } /*l12 */           is 6, Tvar[3=age*V3] should not be computed because of age Tvar[4=V3*V2] 
           } /* k12 */           has been calculated etc */
         } /*l1 */        for(mi=1; mi<= wav[i]-1; mi++){
       }/* k1 */          for (ii=1;ii<=nlstate+ndeath;ii++)
     } /* loop covariates */            for (j=1;j<=nlstate+ndeath;j++){
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));            }
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);          for(d=0; d<dh[mi][i]; d++){
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);            newm=savm;
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
   }            cov[2]=agexact;
   free_vector(xp,1,npar);            if(nagesqr==1)
   fclose(ficresprob);              cov[3]= agexact*agexact;
   fclose(ficresprobcov);            for (kk=1; kk<=cptcovage;kk++) {
   fclose(ficresprobcor);              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact; /* Tage[kk] gives the data-covariate associated with age */
   fclose(ficgp);            }
   fclose(fichtm);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             savm=oldm;
             oldm=newm;
 /******************* Printing html file ***********/          } /* end mult */
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \        
                   int lastpass, int stepm, int weightopt, char model[],\          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
                   int imx,int jmin, int jmax, double jmeanint,char rfileres[],\          /* But now since version 0.9 we anticipate for bias at large stepm.
                   int popforecast, int estepm ,\           * If stepm is larger than one month (smallest stepm) and if the exact delay 
                   double jprev1, double mprev1,double anprev1, \           * (in months) between two waves is not a multiple of stepm, we rounded to 
                   double jprev2, double mprev2,double anprev2){           * the nearest (and in case of equal distance, to the lowest) interval but now
   int jj1, k1, i1, cpt;           * we keep into memory the bias bh[mi][i] and also the previous matrix product
   /*char optionfilehtm[FILENAMELENGTH];*/           * (i.e to dh[mi][i]-1) saved in 'savm'. Then we inter(extra)polate the
   if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {           * probability in order to take into account the bias as a fraction of the way
     printf("Problem with %s \n",optionfilehtm), exit(0);           * from savm to out if bh is negative or even beyond if bh is positive. bh varies
   }           * -stepm/2 to stepm/2 .
            * For stepm=1 the results are the same as for previous versions of Imach.
    fprintf(fichtm,"<ul><li>Result files (first order: no variance)<br>\n           * For stepm > 1 the results are less biased than in previous versions. 
  - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"p%s\">p%s</a> <br>\n           */
  - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n          s1=s[mw[mi][i]][i];
  - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n          s2=s[mw[mi+1][i]][i];
  - Life expectancies by age and initial health status (estepm=%2d months):          bbh=(double)bh[mi][i]/(double)stepm; 
    <a href=\"e%s\">e%s</a> <br>\n</li>", \          /* bias bh is positive if real duration
   jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);           * is higher than the multiple of stepm and negative otherwise.
            */
  fprintf(fichtm,"\n<li> Result files (second order: variances)<br>\n          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
  - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n          if( s2 > nlstate){ 
  - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n            /* i.e. if s2 is a death state and if the date of death is known 
  - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n               then the contribution to the likelihood is the probability to 
  - Correlation matrix of one-step probabilities: <a href=\"probcor%s\">probcor%s</a> <br>\n               die between last step unit time and current  step unit time, 
  - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"v%s\">v%s</a><br>\n               which is also equal to probability to die before dh 
  - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n               minus probability to die before dh-stepm . 
  - Standard deviation of stable prevalences: <a href=\"vpl%s\">vpl%s</a> <br>\n",rfileres,rfileres,fileres,fileres,fileres,fileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres);               In version up to 0.92 likelihood was computed
           as if date of death was unknown. Death was treated as any other
  if(popforecast==1) fprintf(fichtm,"\n          health state: the date of the interview describes the actual state
  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n          and not the date of a change in health state. The former idea was
  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n          to consider that at each interview the state was recorded
         <br>",fileres,fileres,fileres,fileres);          (healthy, disable or death) and IMaCh was corrected; but when we
  else          introduced the exact date of death then we should have modified
    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model);          the contribution of an exact death to the likelihood. This new
 fprintf(fichtm," <li>Graphs</li><p>");          contribution is smaller and very dependent of the step unit
           stepm. It is no more the probability to die between last interview
  m=cptcoveff;          and month of death but the probability to survive from last
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}          interview up to one month before death multiplied by the
           probability to die within a month. Thanks to Chris
  jj1=0;          Jackson for correcting this bug.  Former versions increased
  for(k1=1; k1<=m;k1++){          mortality artificially. The bad side is that we add another loop
    for(i1=1; i1<=ncodemax[k1];i1++){          which slows down the processing. The difference can be up to 10%
      jj1++;          lower mortality.
      if (cptcovn > 0) {            */
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");          /* If, at the beginning of the maximization mostly, the
        for (cpt=1; cpt<=cptcoveff;cpt++)             cumulative probability or probability to be dead is
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);             constant (ie = 1) over time d, the difference is equal to
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");             0.  out[s1][3] = savm[s1][3]: probability, being at state
      }             s1 at precedent wave, to be dead a month before current
      /* Pij */             wave is equal to probability, being at state s1 at
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before: pe%s%d1.png<br>             precedent wave, to be dead at mont of the current
 <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                 wave. Then the observed probability (that this person died)
      /* Quasi-incidences */             is null according to current estimated parameter. In fact,
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: pe%s%d2.png<br>             it should be very low but not zero otherwise the log go to
 <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);             infinity.
        /* Stable prevalence in each health state */          */
        for(cpt=1; cpt<nlstate;cpt++){  /* #ifdef INFINITYORIGINAL */
          fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
 <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);  /* #else */
        }  /*        if ((out[s1][s2] - savm[s1][s2]) < mytinydouble)  */
     for(cpt=1; cpt<=nlstate;cpt++) {  /*          lli=log(mytinydouble); */
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident  /*        else */
 interval) in state (%d): v%s%d%d.png <br>  /*          lli=log(out[s1][s2] - savm[s1][s2]); */
 <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);    /* #endif */
      }              lli=log(out[s1][s2] - savm[s1][s2]);
      for(cpt=1; cpt<=nlstate;cpt++) {  
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>          } else if  (s2==-2) {
 <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);            for (j=1,survp=0. ; j<=nlstate; j++) 
      }              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
      fprintf(fichtm,"\n<br>- Total life expectancy by age and            /*survp += out[s1][j]; */
 health expectancies in states (1) and (2): e%s%d.png<br>            lli= log(survp);
 <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);          }
    }          
  }          else if  (s2==-4) { 
 fclose(fichtm);            for (j=3,survp=0. ; j<=nlstate; j++)  
 }              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
             lli= log(survp); 
 /******************* Gnuplot file **************/          } 
 void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){  
           else if  (s2==-5) { 
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;            for (j=1,survp=0. ; j<=2; j++)  
   int ng;              survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {            lli= log(survp); 
     printf("Problem with file %s",optionfilegnuplot);          } 
   }          
           else{
 #ifdef windows            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
     fprintf(ficgp,"cd \"%s\" \n",pathc);            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
 #endif          } 
 m=pow(2,cptcoveff);          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
            /*if(lli ==000.0)*/
  /* 1eme*/          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
   for (cpt=1; cpt<= nlstate ; cpt ++) {          ipmx +=1;
    for (k1=1; k1<= m ; k1 ++) {          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 #ifdef windows          /* if (lli < log(mytinydouble)){ */
      fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);          /*   printf("Close to inf lli = %.10lf <  %.10lf i= %d mi= %d, s[%d][i]=%d s1=%d s2=%d\n", lli,log(mytinydouble), i, mi,mw[mi][i], s[mw[mi][i]][i], s1,s2); */
      fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,fileres,k1-1,k1-1);          /*   fprintf(ficlog,"Close to inf lli = %.10lf i= %d mi= %d, s[mw[mi][i]][i]=%d\n", lli, i, mi,s[mw[mi][i]][i]); */
 #endif          /* } */
 #ifdef unix        } /* end of wave */
 fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);      } /* end of individual */
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres);    }  else if(mle==2){
 #endif      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
 for (i=1; i<= nlstate ; i ++) {        for(mi=1; mi<= wav[i]-1; mi++){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          for (ii=1;ii<=nlstate+ndeath;ii++)
   else fprintf(ficgp," \%%*lf (\%%*lf)");            for (j=1;j<=nlstate+ndeath;j++){
 }              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     for (i=1; i<= nlstate ; i ++) {            }
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          for(d=0; d<=dh[mi][i]; d++){
   else fprintf(ficgp," \%%*lf (\%%*lf)");            newm=savm;
 }            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);            cov[2]=agexact;
      for (i=1; i<= nlstate ; i ++) {            if(nagesqr==1)
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              cov[3]= agexact*agexact;
   else fprintf(ficgp," \%%*lf (\%%*lf)");            for (kk=1; kk<=cptcovage;kk++) {
 }                cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));            }
 #ifdef unix            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n");                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 #endif            savm=oldm;
    }            oldm=newm;
   }          } /* end mult */
   /*2 eme*/        
           s1=s[mw[mi][i]][i];
   for (k1=1; k1<= m ; k1 ++) {          s2=s[mw[mi+1][i]][i];
     fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);          bbh=(double)bh[mi][i]/(double)stepm; 
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
              ipmx +=1;
     for (i=1; i<= nlstate+1 ; i ++) {          sw += weight[i];
       k=2*i;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);        } /* end of wave */
       for (j=1; j<= nlstate+1 ; j ++) {      } /* end of individual */
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    }  else if(mle==3){  /* exponential inter-extrapolation */
   else fprintf(ficgp," \%%*lf (\%%*lf)");      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 }          for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");        for(mi=1; mi<= wav[i]-1; mi++){
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);          for (ii=1;ii<=nlstate+ndeath;ii++)
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);            for (j=1;j<=nlstate+ndeath;j++){
       for (j=1; j<= nlstate+1 ; j ++) {              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         else fprintf(ficgp," \%%*lf (\%%*lf)");            }
 }            for(d=0; d<dh[mi][i]; d++){
       fprintf(ficgp,"\" t\"\" w l 0,");            newm=savm;
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
       for (j=1; j<= nlstate+1 ; j ++) {            cov[2]=agexact;
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");            if(nagesqr==1)
   else fprintf(ficgp," \%%*lf (\%%*lf)");              cov[3]= agexact*agexact;
 }              for (kk=1; kk<=cptcovage;kk++) {
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
       else fprintf(ficgp,"\" t\"\" w l 0,");            }
     }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
              savm=oldm;
   /*3eme*/            oldm=newm;
           } /* end mult */
   for (k1=1; k1<= m ; k1 ++) {        
     for (cpt=1; cpt<= nlstate ; cpt ++) {          s1=s[mw[mi][i]][i];
       k=2+nlstate*(2*cpt-2);          s2=s[mw[mi+1][i]][i];
       fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);          bbh=(double)bh[mi][i]/(double)stepm; 
       fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);          ipmx +=1;
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");          sw += weight[i];
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);        } /* end of wave */
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");      } /* end of individual */
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);    }else if (mle==4){  /* ml=4 no inter-extrapolation */
       for (i=1,ipmx=0, sw=0.; i<=imx; i++){
 */        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for (i=1; i< nlstate ; i ++) {        for(mi=1; mi<= wav[i]-1; mi++){
         fprintf(ficgp," ,\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+2*i,cpt,i+1);          for (ii=1;ii<=nlstate+ndeath;ii++)
             for (j=1;j<=nlstate+ndeath;j++){
       }              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
   }            }
            for(d=0; d<dh[mi][i]; d++){
   /* CV preval stat */            newm=savm;
     for (k1=1; k1<= m ; k1 ++) {            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
     for (cpt=1; cpt<nlstate ; cpt ++) {            cov[2]=agexact;
       k=3;            if(nagesqr==1)
       fprintf(ficgp,"\nset out \"p%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);              cov[3]= agexact*agexact;
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);            for (kk=1; kk<=cptcovage;kk++) {
               cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
       for (i=1; i< nlstate ; i ++)            }
         fprintf(ficgp,"+$%d",k+i+1);          
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                               1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
       l=3+(nlstate+ndeath)*cpt;            savm=oldm;
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);            oldm=newm;
       for (i=1; i< nlstate ; i ++) {          } /* end mult */
         l=3+(nlstate+ndeath)*cpt;        
         fprintf(ficgp,"+$%d",l+i+1);          s1=s[mw[mi][i]][i];
       }          s2=s[mw[mi+1][i]][i];
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);            if( s2 > nlstate){ 
     }            lli=log(out[s1][s2] - savm[s1][s2]);
   }            }else{
              lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   /* proba elementaires */          }
    for(i=1,jk=1; i <=nlstate; i++){          ipmx +=1;
     for(k=1; k <=(nlstate+ndeath); k++){          sw += weight[i];
       if (k != i) {          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         for(j=1; j <=ncovmodel; j++){  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
                } /* end of wave */
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);      } /* end of individual */
           jk++;    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
           fprintf(ficgp,"\n");      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
         }        for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       }        for(mi=1; mi<= wav[i]-1; mi++){
     }          for (ii=1;ii<=nlstate+ndeath;ii++)
    }            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/              savm[ii][j]=(ii==j ? 1.0 : 0.0);
      for(jk=1; jk <=m; jk++) {            }
        fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng);          for(d=0; d<dh[mi][i]; d++){
        if (ng==2)            newm=savm;
          fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");            agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
        else            cov[2]=agexact;
          fprintf(ficgp,"\nset title \"Probability\"\n");            if(nagesqr==1)
        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);              cov[3]= agexact*agexact;
        i=1;            for (kk=1; kk<=cptcovage;kk++) {
        for(k2=1; k2<=nlstate; k2++) {              cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
          k3=i;            }
          for(k=1; k<=(nlstate+ndeath); k++) {          
            if (k != k2){            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
              if(ng==2)                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);            savm=oldm;
              else            oldm=newm;
                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);          } /* end mult */
              ij=1;        
              for(j=3; j <=ncovmodel; j++) {          s1=s[mw[mi][i]][i];
                if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {          s2=s[mw[mi+1][i]][i];
                  fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
                  ij++;          ipmx +=1;
                }          sw += weight[i];
                else          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
                  fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
              }        } /* end of wave */
              fprintf(ficgp,")/(1");      } /* end of individual */
                  } /* End of if */
              for(k1=1; k1 <=nlstate; k1++){      for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
                ij=1;    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
                for(j=3; j <=ncovmodel; j++){    return -l;
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {  }
                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);  
                    ij++;  /*************** log-likelihood *************/
                  }  double funcone( double *x)
                  else  {
                    fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    /* Same as likeli but slower because of a lot of printf and if */
                }    int i, ii, j, k, mi, d, kk;
                fprintf(ficgp,")");    double l, ll[NLSTATEMAX+1], cov[NCOVMAX+1];
              }    double **out;
              fprintf(ficgp,") t \"p%d%d\" ", k2,k);    double lli; /* Individual log likelihood */
              if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");    double llt;
              i=i+ncovmodel;    int s1, s2;
            }    double bbh, survp;
          }    double agexact;
        }    /*extern weight */
      }    /* We are differentiating ll according to initial status */
    }    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
    fclose(ficgp);    /*for(i=1;i<imx;i++) 
 }  /* end gnuplot */      printf(" %d\n",s[4][i]);
     */
     cov[1]=1.;
 /*************** Moving average **************/  
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){    for(k=1; k<=nlstate; k++) ll[k]=0.;
   
   int i, cpt, cptcod;    for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)      for (k=1; k<=cptcovn;k++) cov[2+nagesqr+k]=covar[Tvar[k]][i];
       for (i=1; i<=nlstate;i++)      for(mi=1; mi<= wav[i]-1; mi++){
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)        for (ii=1;ii<=nlstate+ndeath;ii++)
           mobaverage[(int)agedeb][i][cptcod]=0.;          for (j=1;j<=nlstate+ndeath;j++){
                oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     for (agedeb=ageminpar+4; agedeb<=fage; agedeb++){            savm[ii][j]=(ii==j ? 1.0 : 0.0);
       for (i=1; i<=nlstate;i++){          }
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){        for(d=0; d<dh[mi][i]; d++){
           for (cpt=0;cpt<=4;cpt++){          newm=savm;
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];          agexact=agev[mw[mi][i]][i]+d*stepm/YEARM;
           }          cov[2]=agexact;
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;          if(nagesqr==1)
         }            cov[3]= agexact*agexact;
       }          for (kk=1; kk<=cptcovage;kk++) {
     }            cov[Tage[kk]+2+nagesqr]=covar[Tvar[Tage[kk]]][i]*agexact;
              }
 }  
           /* savm=pmij(pmmij,cov,ncovmodel,x,nlstate); */
           out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 /************** Forecasting ******************/                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 prevforecast(char fileres[], double anproj1,double mproj1,double jproj1,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anproj2,double p[], int i2){          /* out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath, */
            /*           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate)); */
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;          savm=oldm;
   int *popage;          oldm=newm;
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;        } /* end mult */
   double *popeffectif,*popcount;        
   double ***p3mat;        s1=s[mw[mi][i]][i];
   char fileresf[FILENAMELENGTH];        s2=s[mw[mi+1][i]][i];
         bbh=(double)bh[mi][i]/(double)stepm; 
  agelim=AGESUP;        /* bias is positive if real duration
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;         * is higher than the multiple of stepm and negative otherwise.
          */
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);        if( s2 > nlstate && (mle <5) ){  /* Jackson */
            lli=log(out[s1][s2] - savm[s1][s2]);
          } else if  (s2==-2) {
   strcpy(fileresf,"f");          for (j=1,survp=0. ; j<=nlstate; j++) 
   strcat(fileresf,fileres);            survp += (1.+bbh)*out[s1][j]- bbh*savm[s1][j];
   if((ficresf=fopen(fileresf,"w"))==NULL) {          lli= log(survp);
     printf("Problem with forecast resultfile: %s\n", fileresf);        }else if (mle==1){
   }          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
   printf("Computing forecasting: result on file '%s' \n", fileresf);        } else if(mle==2){
           lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
   if (cptcoveff==0) ncodemax[cptcoveff]=1;        } else if(mle==3){  /* exponential inter-extrapolation */
           lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
   if (mobilav==1) {        } else if (mle==4){  /* mle=4 no inter-extrapolation */
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          lli=log(out[s1][s2]); /* Original formula */
     movingaverage(agedeb, fage, ageminpar, mobaverage);        } else{  /* mle=0 back to 1 */
   }          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
           /*lli=log(out[s1][s2]); */ /* Original formula */
   stepsize=(int) (stepm+YEARM-1)/YEARM;        } /* End of if */
   if (stepm<=12) stepsize=1;        ipmx +=1;
          sw += weight[i];
   agelim=AGESUP;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
   hstepm=1;        if(globpr){
   hstepm=hstepm/stepm;          fprintf(ficresilk,"%9ld %6d %2d %2d %1d %1d %3d %11.6f %8.4f\
   yp1=modf(dateintmean,&yp);   %11.6f %11.6f %11.6f ", \
   anprojmean=yp;                  num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
   yp2=modf((yp1*12),&yp);                  2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
   mprojmean=yp;          for(k=1,llt=0.,l=0.; k<=nlstate; k++){
   yp1=modf((yp2*30.5),&yp);            llt +=ll[k]*gipmx/gsw;
   jprojmean=yp;            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
   if(jprojmean==0) jprojmean=1;          }
   if(mprojmean==0) jprojmean=1;          fprintf(ficresilk," %10.6f\n", -llt);
          }
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);      } /* end of wave */
      } /* end of individual */
   for(cptcov=1;cptcov<=i2;cptcov++){    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
       k=k+1;    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
       fprintf(ficresf,"\n#******");    if(globpr==0){ /* First time we count the contributions and weights */
       for(j=1;j<=cptcoveff;j++) {      gipmx=ipmx;
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      gsw=sw;
       }    }
       fprintf(ficresf,"******\n");    return -l;
       fprintf(ficresf,"# StartingAge FinalAge");  }
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);  
        
        /*************** function likelione ***********/
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
         fprintf(ficresf,"\n");  {
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);      /* This routine should help understanding what is done with 
        the selection of individuals/waves and
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){       to check the exact contribution to the likelihood.
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);       Plotting could be done.
           nhstepm = nhstepm/hstepm;     */
              int k;
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
           oldm=oldms;savm=savms;    if(*globpri !=0){ /* Just counts and sums, no printings */
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        strcpy(fileresilk,"ilk"); 
              strcat(fileresilk,fileres);
           for (h=0; h<=nhstepm; h++){      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
             if (h==(int) (calagedate+YEARM*cpt)) {        printf("Problem with resultfile: %s\n", fileresilk);
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
             }      }
             for(j=1; j<=nlstate+ndeath;j++) {      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
               kk1=0.;kk2=0;      fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
               for(i=1; i<=nlstate;i++) {                    /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
                 if (mobilav==1)      for(k=1; k<=nlstate; k++) 
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
                 else {      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    }
                 }  
                    *fretone=(*funcone)(p);
               }    if(*globpri !=0){
               if (h==(int)(calagedate+12*cpt)){      fclose(ficresilk);
                 fprintf(ficresf," %.3f", kk1);      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
                              fflush(fichtm); 
               }    } 
             }    return;
           }  }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
         }  
       }  /*********** Maximum Likelihood Estimation ***************/
     }  
   }  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
          {
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    int i,j, iter=0;
     double **xi;
   fclose(ficresf);    double fret;
 }    double fretone; /* Only one call to likelihood */
 /************** Forecasting ******************/    /*  char filerespow[FILENAMELENGTH];*/
 populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){  
    #ifdef NLOPT
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;    int creturn;
   int *popage;    nlopt_opt opt;
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;    /* double lb[9] = { -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL, -HUGE_VAL }; /\* lower bounds *\/ */
   double *popeffectif,*popcount;    double *lb;
   double ***p3mat,***tabpop,***tabpopprev;    double minf; /* the minimum objective value, upon return */
   char filerespop[FILENAMELENGTH];    double * p1; /* Shifted parameters from 0 instead of 1 */
     myfunc_data dinst, *d = &dinst;
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  #endif
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);  
   agelim=AGESUP;  
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;    xi=matrix(1,npar,1,npar);
      for (i=1;i<=npar;i++)
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      for (j=1;j<=npar;j++)
          xi[i][j]=(i==j ? 1.0 : 0.0);
      printf("Powell\n");  fprintf(ficlog,"Powell\n");
   strcpy(filerespop,"pop");    strcpy(filerespow,"pow"); 
   strcat(filerespop,fileres);    strcat(filerespow,fileres);
   if((ficrespop=fopen(filerespop,"w"))==NULL) {    if((ficrespow=fopen(filerespow,"w"))==NULL) {
     printf("Problem with forecast resultfile: %s\n", filerespop);      printf("Problem with resultfile: %s\n", filerespow);
   }      fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
   printf("Computing forecasting: result on file '%s' \n", filerespop);    }
     fprintf(ficrespow,"# Powell\n# iter -2*LL");
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    for (i=1;i<=nlstate;i++)
       for(j=1;j<=nlstate+ndeath;j++)
   if (mobilav==1) {        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    fprintf(ficrespow,"\n");
     movingaverage(agedeb, fage, ageminpar, mobaverage);  #ifdef POWELL
   }    powell(p,xi,npar,ftol,&iter,&fret,func);
   #endif
   stepsize=(int) (stepm+YEARM-1)/YEARM;  
   if (stepm<=12) stepsize=1;  #ifdef NLOPT
    #ifdef NEWUOA
   agelim=AGESUP;    opt = nlopt_create(NLOPT_LN_NEWUOA,npar);
    #else
   hstepm=1;    opt = nlopt_create(NLOPT_LN_BOBYQA,npar);
   hstepm=hstepm/stepm;  #endif
      lb=vector(0,npar-1);
   if (popforecast==1) {    for (i=0;i<npar;i++) lb[i]= -HUGE_VAL;
     if((ficpop=fopen(popfile,"r"))==NULL) {    nlopt_set_lower_bounds(opt, lb);
       printf("Problem with population file : %s\n",popfile);exit(0);    nlopt_set_initial_step1(opt, 0.1);
     }    
     popage=ivector(0,AGESUP);    p1= (p+1); /*  p *(p+1)@8 and p *(p1)@8 are equal p1[0]=p[1] */
     popeffectif=vector(0,AGESUP);    d->function = func;
     popcount=vector(0,AGESUP);    printf(" Func %.12lf \n",myfunc(npar,p1,NULL,d));
        nlopt_set_min_objective(opt, myfunc, d);
     i=1;      nlopt_set_xtol_rel(opt, ftol);
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;    if ((creturn=nlopt_optimize(opt, p1, &minf)) < 0) {
          printf("nlopt failed! %d\n",creturn); 
     imx=i;    }
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];    else {
   }      printf("found minimum after %d evaluations (NLOPT=%d)\n", countcallfunc ,NLOPT);
       printf("found minimum at f(%g,%g) = %0.10g\n", p[0], p[1], minf);
   for(cptcov=1;cptcov<=i2;cptcov++){      iter=1; /* not equal */
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    }
       k=k+1;    nlopt_destroy(opt);
       fprintf(ficrespop,"\n#******");  #endif
       for(j=1;j<=cptcoveff;j++) {    free_matrix(xi,1,npar,1,npar);
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    fclose(ficrespow);
       }    printf("#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
       fprintf(ficrespop,"******\n");    fprintf(ficlog,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
       fprintf(ficrespop,"# Age");    fprintf(ficres,"#Number of iterations & function calls = %d & %d, -2 Log likelihood = %.12f\n",iter, countcallfunc,func(p));
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);  
       if (popforecast==1)  fprintf(ficrespop," [Population]");  }
        
       for (cpt=0; cpt<=0;cpt++) {  /**** Computes Hessian and covariance matrix ***/
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);    void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
          {
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    double  **a,**y,*x,pd;
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    double **hess;
           nhstepm = nhstepm/hstepm;    int i, j;
              int *indx;
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
           oldm=oldms;savm=savms;    double hessii(double p[], double delta, int theta, double delti[],double (*func)(double []),int npar);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      double hessij(double p[], double delti[], int i, int j,double (*func)(double []),int npar);
            void lubksb(double **a, int npar, int *indx, double b[]) ;
           for (h=0; h<=nhstepm; h++){    void ludcmp(double **a, int npar, int *indx, double *d) ;
             if (h==(int) (calagedate+YEARM*cpt)) {    double gompertz(double p[]);
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);    hess=matrix(1,npar,1,npar);
             }  
             for(j=1; j<=nlstate+ndeath;j++) {    printf("\nCalculation of the hessian matrix. Wait...\n");
               kk1=0.;kk2=0;    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
               for(i=1; i<=nlstate;i++) {                  for (i=1;i<=npar;i++){
                 if (mobilav==1)      printf("%d",i);fflush(stdout);
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];      fprintf(ficlog,"%d",i);fflush(ficlog);
                 else {     
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];       hess[i][i]=hessii(p,ftolhess,i,delti,func,npar);
                 }      
               }      /*  printf(" %f ",p[i]);
               if (h==(int)(calagedate+12*cpt)){          printf(" %lf %lf %lf",hess[i][i],ftolhess,delti[i]);*/
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;    }
                   /*fprintf(ficrespop," %.3f", kk1);    
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/    for (i=1;i<=npar;i++) {
               }      for (j=1;j<=npar;j++)  {
             }        if (j>i) { 
             for(i=1; i<=nlstate;i++){          printf(".%d%d",i,j);fflush(stdout);
               kk1=0.;          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
                 for(j=1; j<=nlstate;j++){          hess[i][j]=hessij(p,delti,i,j,func,npar);
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];          
                 }          hess[j][i]=hess[i][j];    
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];          /*printf(" %lf ",hess[i][j]);*/
             }        }
       }
             if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++)    }
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);    printf("\n");
           }    fprintf(ficlog,"\n");
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);  
         }    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
       }    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
      
   /******/    a=matrix(1,npar,1,npar);
     y=matrix(1,npar,1,npar);
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {    x=vector(1,npar);
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);      indx=ivector(1,npar);
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    for (i=1;i<=npar;i++)
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
           nhstepm = nhstepm/hstepm;    ludcmp(a,npar,indx,&pd);
            
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    for (j=1;j<=npar;j++) {
           oldm=oldms;savm=savms;      for (i=1;i<=npar;i++) x[i]=0;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        x[j]=1;
           for (h=0; h<=nhstepm; h++){      lubksb(a,npar,indx,x);
             if (h==(int) (calagedate+YEARM*cpt)) {      for (i=1;i<=npar;i++){ 
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);        matcov[i][j]=x[i];
             }      }
             for(j=1; j<=nlstate+ndeath;j++) {    }
               kk1=0.;kk2=0;  
               for(i=1; i<=nlstate;i++) {                  printf("\n#Hessian matrix#\n");
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];        fprintf(ficlog,"\n#Hessian matrix#\n");
               }    for (i=1;i<=npar;i++) { 
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);      for (j=1;j<=npar;j++) { 
             }        printf("%.3e ",hess[i][j]);
           }        fprintf(ficlog,"%.3e ",hess[i][j]);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      }
         }      printf("\n");
       }      fprintf(ficlog,"\n");
    }    }
   }  
      /* Recompute Inverse */
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    for (i=1;i<=npar;i++)
       for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   if (popforecast==1) {    ludcmp(a,npar,indx,&pd);
     free_ivector(popage,0,AGESUP);  
     free_vector(popeffectif,0,AGESUP);    /*  printf("\n#Hessian matrix recomputed#\n");
     free_vector(popcount,0,AGESUP);  
   }    for (j=1;j<=npar;j++) {
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);      for (i=1;i<=npar;i++) x[i]=0;
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);      x[j]=1;
   fclose(ficrespop);      lubksb(a,npar,indx,x);
 }      for (i=1;i<=npar;i++){ 
         y[i][j]=x[i];
 /***********************************************/        printf("%.3e ",y[i][j]);
 /**************** Main Program *****************/        fprintf(ficlog,"%.3e ",y[i][j]);
 /***********************************************/      }
       printf("\n");
 int main(int argc, char *argv[])      fprintf(ficlog,"\n");
 {    }
     */
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;  
   double agedeb, agefin,hf;    free_matrix(a,1,npar,1,npar);
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;    free_matrix(y,1,npar,1,npar);
     free_vector(x,1,npar);
   double fret;    free_ivector(indx,1,npar);
   double **xi,tmp,delta;    free_matrix(hess,1,npar,1,npar);
   
   double dum; /* Dummy variable */  
   double ***p3mat;  }
   int *indx;  
   char line[MAXLINE], linepar[MAXLINE];  /*************** hessian matrix ****************/
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];  double hessii(double x[], double delta, int theta, double delti[], double (*func)(double []), int npar)
   int firstobs=1, lastobs=10;  {
   int sdeb, sfin; /* Status at beginning and end */    int i;
   int c,  h , cpt,l;    int l=1, lmax=20;
   int ju,jl, mi;    double k1,k2;
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;    double p2[MAXPARM+1]; /* identical to x */
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;    double res;
   int mobilav=0,popforecast=0;    double delt=0.0001, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   int hstepm, nhstepm;    double fx;
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;    int k=0,kmax=10;
     double l1;
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;    fx=func(x);
   double **prlim;    for (i=1;i<=npar;i++) p2[i]=x[i];
   double *severity;    for(l=0 ; l <=lmax; l++){  /* Enlarging the zone around the Maximum */
   double ***param; /* Matrix of parameters */      l1=pow(10,l);
   double  *p;      delts=delt;
   double **matcov; /* Matrix of covariance */      for(k=1 ; k <kmax; k=k+1){
   double ***delti3; /* Scale */        delt = delta*(l1*k);
   double *delti; /* Scale */        p2[theta]=x[theta] +delt;
   double ***eij, ***vareij;        k1=func(p2)-fx;   /* Might be negative if too close to the theoretical maximum */
   double **varpl; /* Variances of prevalence limits by age */        p2[theta]=x[theta]-delt;
   double *epj, vepp;        k2=func(p2)-fx;
   double kk1, kk2;        /*res= (k1-2.0*fx+k2)/delt/delt; */
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
          
   #ifdef DEBUGHESS
   char *alph[]={"a","a","b","c","d","e"}, str[4];        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
         fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
   #endif
   char z[1]="c", occ;        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
 #include <sys/time.h>        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
 #include <time.h>          k=kmax;
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];        }
          else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
   /* long total_usecs;          k=kmax; l=lmax*10;
   struct timeval start_time, end_time;        }
          else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */          delts=delt;
   getcwd(pathcd, size);        }
       }
   printf("\n%s",version);    }
   if(argc <=1){    delti[theta]=delts;
     printf("\nEnter the parameter file name: ");    return res; 
     scanf("%s",pathtot);    
   }  }
   else{  
     strcpy(pathtot,argv[1]);  double hessij( double x[], double delti[], int thetai,int thetaj,double (*func)(double []),int npar)
   }  {
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/    int i;
   /*cygwin_split_path(pathtot,path,optionfile);    int l=1, lmax=20;
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/    double k1,k2,k3,k4,res,fx;
   /* cutv(path,optionfile,pathtot,'\\');*/    double p2[MAXPARM+1];
     int k;
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);  
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);    fx=func(x);
   chdir(path);    for (k=1; k<=2; k++) {
   replace(pathc,path);      for (i=1;i<=npar;i++) p2[i]=x[i];
       p2[thetai]=x[thetai]+delti[thetai]/k;
 /*-------- arguments in the command line --------*/      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
       k1=func(p2)-fx;
   strcpy(fileres,"r");    
   strcat(fileres, optionfilefiname);      p2[thetai]=x[thetai]+delti[thetai]/k;
   strcat(fileres,".txt");    /* Other files have txt extension */      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       k2=func(p2)-fx;
   /*---------arguments file --------*/    
       p2[thetai]=x[thetai]-delti[thetai]/k;
   if((ficpar=fopen(optionfile,"r"))==NULL)    {      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     printf("Problem with optionfile %s\n",optionfile);      k3=func(p2)-fx;
     goto end;    
   }      p2[thetai]=x[thetai]-delti[thetai]/k;
       p2[thetaj]=x[thetaj]-delti[thetaj]/k;
   strcpy(filereso,"o");      k4=func(p2)-fx;
   strcat(filereso,fileres);      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
   if((ficparo=fopen(filereso,"w"))==NULL) {  #ifdef DEBUG
     printf("Problem with Output resultfile: %s\n", filereso);goto end;      printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
   }      fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
   #endif
   /* Reads comments: lines beginning with '#' */    }
   while((c=getc(ficpar))=='#' && c!= EOF){    return res;
     ungetc(c,ficpar);  }
     fgets(line, MAXLINE, ficpar);  
     puts(line);  /************** Inverse of matrix **************/
     fputs(line,ficparo);  void ludcmp(double **a, int n, int *indx, double *d) 
   }  { 
   ungetc(c,ficpar);    int i,imax,j,k; 
     double big,dum,sum,temp; 
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);    double *vv; 
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);   
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);    vv=vector(1,n); 
 while((c=getc(ficpar))=='#' && c!= EOF){    *d=1.0; 
     ungetc(c,ficpar);    for (i=1;i<=n;i++) { 
     fgets(line, MAXLINE, ficpar);      big=0.0; 
     puts(line);      for (j=1;j<=n;j++) 
     fputs(line,ficparo);        if ((temp=fabs(a[i][j])) > big) big=temp; 
   }      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
   ungetc(c,ficpar);      vv[i]=1.0/big; 
      } 
        for (j=1;j<=n;j++) { 
   covar=matrix(0,NCOVMAX,1,n);      for (i=1;i<j;i++) { 
   cptcovn=0;        sum=a[i][j]; 
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         a[i][j]=sum; 
   ncovmodel=2+cptcovn;      } 
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */      big=0.0; 
        for (i=j;i<=n;i++) { 
   /* Read guess parameters */        sum=a[i][j]; 
   /* Reads comments: lines beginning with '#' */        for (k=1;k<j;k++) 
   while((c=getc(ficpar))=='#' && c!= EOF){          sum -= a[i][k]*a[k][j]; 
     ungetc(c,ficpar);        a[i][j]=sum; 
     fgets(line, MAXLINE, ficpar);        if ( (dum=vv[i]*fabs(sum)) >= big) { 
     puts(line);          big=dum; 
     fputs(line,ficparo);          imax=i; 
   }        } 
   ungetc(c,ficpar);      } 
        if (j != imax) { 
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        for (k=1;k<=n;k++) { 
     for(i=1; i <=nlstate; i++)          dum=a[imax][k]; 
     for(j=1; j <=nlstate+ndeath-1; j++){          a[imax][k]=a[j][k]; 
       fscanf(ficpar,"%1d%1d",&i1,&j1);          a[j][k]=dum; 
       fprintf(ficparo,"%1d%1d",i1,j1);        } 
       printf("%1d%1d",i,j);        *d = -(*d); 
       for(k=1; k<=ncovmodel;k++){        vv[imax]=vv[j]; 
         fscanf(ficpar," %lf",&param[i][j][k]);      } 
         printf(" %lf",param[i][j][k]);      indx[j]=imax; 
         fprintf(ficparo," %lf",param[i][j][k]);      if (a[j][j] == 0.0) a[j][j]=TINY; 
       }      if (j != n) { 
       fscanf(ficpar,"\n");        dum=1.0/(a[j][j]); 
       printf("\n");        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
       fprintf(ficparo,"\n");      } 
     }    } 
      free_vector(vv,1,n);  /* Doesn't work */
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;  ;
   } 
   p=param[1][1];  
    void lubksb(double **a, int n, int *indx, double b[]) 
   /* Reads comments: lines beginning with '#' */  { 
   while((c=getc(ficpar))=='#' && c!= EOF){    int i,ii=0,ip,j; 
     ungetc(c,ficpar);    double sum; 
     fgets(line, MAXLINE, ficpar);   
     puts(line);    for (i=1;i<=n;i++) { 
     fputs(line,ficparo);      ip=indx[i]; 
   }      sum=b[ip]; 
   ungetc(c,ficpar);      b[ip]=b[i]; 
       if (ii) 
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */      else if (sum) ii=i; 
   for(i=1; i <=nlstate; i++){      b[i]=sum; 
     for(j=1; j <=nlstate+ndeath-1; j++){    } 
       fscanf(ficpar,"%1d%1d",&i1,&j1);    for (i=n;i>=1;i--) { 
       printf("%1d%1d",i,j);      sum=b[i]; 
       fprintf(ficparo,"%1d%1d",i1,j1);      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
       for(k=1; k<=ncovmodel;k++){      b[i]=sum/a[i][i]; 
         fscanf(ficpar,"%le",&delti3[i][j][k]);    } 
         printf(" %le",delti3[i][j][k]);  } 
         fprintf(ficparo," %le",delti3[i][j][k]);  
       }  void pstamp(FILE *fichier)
       fscanf(ficpar,"\n");  {
       printf("\n");    fprintf(fichier,"# %s.%s\n#IMaCh version %s, %s\n#%s\n# %s", optionfilefiname,optionfilext,version,copyright, fullversion, strstart);
       fprintf(ficparo,"\n");  }
     }  
   }  /************ Frequencies ********************/
   delti=delti3[1][1];  void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint, char strstart[])
    {  /* Some frequencies */
   /* Reads comments: lines beginning with '#' */    
   while((c=getc(ficpar))=='#' && c!= EOF){    int i, m, jk, j1, bool, z1,j;
     ungetc(c,ficpar);    int first;
     fgets(line, MAXLINE, ficpar);    double ***freq; /* Frequencies */
     puts(line);    double *pp, **prop;
     fputs(line,ficparo);    double pos,posprop, k2, dateintsum=0,k2cpt=0;
   }    char fileresp[FILENAMELENGTH];
   ungetc(c,ficpar);    
      pp=vector(1,nlstate);
   matcov=matrix(1,npar,1,npar);    prop=matrix(1,nlstate,iagemin,iagemax+3);
   for(i=1; i <=npar; i++){    strcpy(fileresp,"p");
     fscanf(ficpar,"%s",&str);    strcat(fileresp,fileres);
     printf("%s",str);    if((ficresp=fopen(fileresp,"w"))==NULL) {
     fprintf(ficparo,"%s",str);      printf("Problem with prevalence resultfile: %s\n", fileresp);
     for(j=1; j <=i; j++){      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
       fscanf(ficpar," %le",&matcov[i][j]);      exit(0);
       printf(" %.5le",matcov[i][j]);    }
       fprintf(ficparo," %.5le",matcov[i][j]);    freq= ma3x(-5,nlstate+ndeath,-5,nlstate+ndeath,iagemin,iagemax+3);
     }    j1=0;
     fscanf(ficpar,"\n");    
     printf("\n");    j=cptcoveff;
     fprintf(ficparo,"\n");    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   }  
   for(i=1; i <=npar; i++)    first=1;
     for(j=i+1;j<=npar;j++)  
       matcov[i][j]=matcov[j][i];    /* for(k1=1; k1<=j ; k1++){ */  /* Loop on covariates */
        /*  for(i1=1; i1<=ncodemax[k1];i1++){ */ /* Now it is 2 */
   printf("\n");    /*    j1++; */
     for (j1 = 1; j1 <= (int) pow(2,cptcoveff); j1++){
         /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
     /*-------- Rewriting paramater file ----------*/          scanf("%d", i);*/
      strcpy(rfileres,"r");    /* "Rparameterfile */        for (i=-5; i<=nlstate+ndeath; i++)  
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/          for (jk=-5; jk<=nlstate+ndeath; jk++)  
      strcat(rfileres,".");    /* */            for(m=iagemin; m <= iagemax+3; m++)
      strcat(rfileres,optionfilext);    /* Other files have txt extension */              freq[i][jk][m]=0;
     if((ficres =fopen(rfileres,"w"))==NULL) {        
       printf("Problem writing new parameter file: %s\n", fileres);goto end;        for (i=1; i<=nlstate; i++)  
     }          for(m=iagemin; m <= iagemax+3; m++)
     fprintf(ficres,"#%s\n",version);            prop[i][m]=0;
            
     /*-------- data file ----------*/        dateintsum=0;
     if((fic=fopen(datafile,"r"))==NULL)    {        k2cpt=0;
       printf("Problem with datafile: %s\n", datafile);goto end;        for (i=1; i<=imx; i++) {
     }          bool=1;
           if  (cptcovn>0) { /* Filter is here: Must be looked at for model=V1+V2+V3+V4 */
     n= lastobs;            for (z1=1; z1<=cptcoveff; z1++)       
     severity = vector(1,maxwav);              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]){
     outcome=imatrix(1,maxwav+1,1,n);                  /* Tests if the value of each of the covariates of i is equal to filter j1 */
     num=ivector(1,n);                bool=0;
     moisnais=vector(1,n);                /* printf("bool=%d i=%d, z1=%d, Tvaraff[%d]=%d, covar[Tvarff][%d]=%2f, codtabm(%d,%d)=%d, nbcode[Tvaraff][codtabm(%d,%d)=%d, j1=%d\n", 
     annais=vector(1,n);                  bool,i,z1, z1, Tvaraff[z1],i,covar[Tvaraff[z1]][i],j1,z1,codtabm(j1,z1),
     moisdc=vector(1,n);                  j1,z1,nbcode[Tvaraff[z1]][codtabm(j1,z1)],j1);*/
     andc=vector(1,n);                /* For j1=7 in V1+V2+V3+V4 = 0 1 1 0 and codtabm(7,3)=1 and nbcde[3][?]=1*/
     agedc=vector(1,n);              } 
     cod=ivector(1,n);          }
     weight=vector(1,n);   
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */          if (bool==1){
     mint=matrix(1,maxwav,1,n);            for(m=firstpass; m<=lastpass; m++){
     anint=matrix(1,maxwav,1,n);              k2=anint[m][i]+(mint[m][i]/12.);
     s=imatrix(1,maxwav+1,1,n);              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
     adl=imatrix(1,maxwav+1,1,n);                    if(agev[m][i]==0) agev[m][i]=iagemax+1;
     tab=ivector(1,NCOVMAX);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
     ncodemax=ivector(1,8);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
                 if (m<lastpass) {
     i=1;                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
     while (fgets(line, MAXLINE, fic) != NULL)    {                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
       if ((i >= firstobs) && (i <=lastobs)) {                }
                        
         for (j=maxwav;j>=1;j--){                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);                  dateintsum=dateintsum+k2;
           strcpy(line,stra);                  k2cpt++;
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);                }
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);                /*}*/
         }            }
                  }
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);        } /* end i */
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);         
         /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);        pstamp(ficresp);
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);        if  (cptcovn>0) {
           fprintf(ficresp, "\n#********** Variable "); 
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         for (j=ncovcol;j>=1;j--){          fprintf(ficresp, "**********\n#");
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);          fprintf(ficlog, "\n#********** Variable "); 
         }          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficlog, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
         num[i]=atol(stra);          fprintf(ficlog, "**********\n#");
                }
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){        for(i=1; i<=nlstate;i++) 
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
         fprintf(ficresp, "\n");
         i=i+1;        
       }        for(i=iagemin; i <= iagemax+3; i++){
     }          if(i==iagemax+3){
     /* printf("ii=%d", ij);            fprintf(ficlog,"Total");
        scanf("%d",i);*/          }else{
   imx=i-1; /* Number of individuals */            if(first==1){
               first=0;
   /* for (i=1; i<=imx; i++){              printf("See log file for details...\n");
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;            }
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;            fprintf(ficlog,"Age %d", i);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;          }
     }*/          for(jk=1; jk <=nlstate ; jk++){
    /*  for (i=1; i<=imx; i++){            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
      if (s[4][i]==9)  s[4][i]=-1;              pp[jk] += freq[jk][m][i]; 
      printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/          }
            for(jk=1; jk <=nlstate ; jk++){
              for(m=-1, pos=0; m <=0 ; m++)
   /* Calculation of the number of parameter from char model*/              pos += freq[jk][m][i];
   Tvar=ivector(1,15);            if(pp[jk]>=1.e-10){
   Tprod=ivector(1,15);              if(first==1){
   Tvaraff=ivector(1,15);                printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
   Tvard=imatrix(1,15,1,2);              }
   Tage=ivector(1,15);                    fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
                }else{
   if (strlen(model) >1){              if(first==1)
     j=0, j1=0, k1=1, k2=1;                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     j=nbocc(model,'+');              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     j1=nbocc(model,'*');            }
     cptcovn=j+1;          }
     cptcovprod=j1;  
              for(jk=1; jk <=nlstate ; jk++){
     strcpy(modelsav,model);            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){              pp[jk] += freq[jk][m][i];
       printf("Error. Non available option model=%s ",model);          }       
       goto end;          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
     }            pos += pp[jk];
                posprop += prop[jk][i];
     for(i=(j+1); i>=1;i--){          }
       cutv(stra,strb,modelsav,'+');          for(jk=1; jk <=nlstate ; jk++){
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);            if(pos>=1.e-5){
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/              if(first==1)
       /*scanf("%d",i);*/                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
       if (strchr(strb,'*')) {              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
         cutv(strd,strc,strb,'*');            }else{
         if (strcmp(strc,"age")==0) {              if(first==1)
           cptcovprod--;                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
           cutv(strb,stre,strd,'V');              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
           Tvar[i]=atoi(stre);            }
           cptcovage++;            if( i <= iagemax){
             Tage[cptcovage]=i;              if(pos>=1.e-5){
             /*printf("stre=%s ", stre);*/                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
         }                /*probs[i][jk][j1]= pp[jk]/pos;*/
         else if (strcmp(strd,"age")==0) {                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
           cptcovprod--;              }
           cutv(strb,stre,strc,'V');              else
           Tvar[i]=atoi(stre);                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
           cptcovage++;            }
           Tage[cptcovage]=i;          }
         }          
         else {          for(jk=-1; jk <=nlstate+ndeath; jk++)
           cutv(strb,stre,strc,'V');            for(m=-1; m <=nlstate+ndeath; m++)
           Tvar[i]=ncovcol+k1;              if(freq[jk][m][i] !=0 ) {
           cutv(strb,strc,strd,'V');              if(first==1)
           Tprod[k1]=i;                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
           Tvard[k1][1]=atoi(strc);                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
           Tvard[k1][2]=atoi(stre);              }
           Tvar[cptcovn+k2]=Tvard[k1][1];          if(i <= iagemax)
           Tvar[cptcovn+k2+1]=Tvard[k1][2];            fprintf(ficresp,"\n");
           for (k=1; k<=lastobs;k++)          if(first==1)
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];            printf("Others in log...\n");
           k1++;          fprintf(ficlog,"\n");
           k2=k2+2;        }
         }        /*}*/
       }    }
       else {    dateintmean=dateintsum/k2cpt; 
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/   
        /*  scanf("%d",i);*/    fclose(ficresp);
       cutv(strd,strc,strb,'V');    free_ma3x(freq,-5,nlstate+ndeath,-5,nlstate+ndeath, iagemin, iagemax+3);
       Tvar[i]=atoi(strc);    free_vector(pp,1,nlstate);
       }    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
       strcpy(modelsav,stra);      /* End of Freq */
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);  }
         scanf("%d",i);*/  
     }  /************ Prevalence ********************/
 }  void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
    {  
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
   printf("cptcovprod=%d ", cptcovprod);       in each health status at the date of interview (if between dateprev1 and dateprev2).
   scanf("%d ",i);*/       We still use firstpass and lastpass as another selection.
     fclose(fic);    */
    
     /*  if(mle==1){*/    int i, m, jk, j1, bool, z1,j;
     if (weightopt != 1) { /* Maximisation without weights*/  
       for(i=1;i<=n;i++) weight[i]=1.0;    double **prop;
     }    double posprop; 
     /*-calculation of age at interview from date of interview and age at death -*/    double  y2; /* in fractional years */
     agev=matrix(1,maxwav,1,imx);    int iagemin, iagemax;
     int first; /** to stop verbosity which is redirected to log file */
     for (i=1; i<=imx; i++) {  
       for(m=2; (m<= maxwav); m++) {    iagemin= (int) agemin;
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){    iagemax= (int) agemax;
          anint[m][i]=9999;    /*pp=vector(1,nlstate);*/
          s[m][i]=-1;    prop=matrix(1,nlstate,iagemin,iagemax+3); 
        }    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;    j1=0;
       }    
     }    /*j=cptcoveff;*/
     if (cptcovn<1) {j=1;ncodemax[1]=1;}
     for (i=1; i<=imx; i++)  {    
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);    first=1;
       for(m=1; (m<= maxwav); m++){    for(j1=1; j1<= (int) pow(2,cptcoveff);j1++){
         if(s[m][i] >0){      /*for(i1=1; i1<=ncodemax[k1];i1++){
           if (s[m][i] >= nlstate+1) {        j1++;*/
             if(agedc[i]>0)        
               if(moisdc[i]!=99 && andc[i]!=9999)        for (i=1; i<=nlstate; i++)  
                 agev[m][i]=agedc[i];          for(m=iagemin; m <= iagemax+3; m++)
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/            prop[i][m]=0.0;
            else {       
               if (andc[i]!=9999){        for (i=1; i<=imx; i++) { /* Each individual */
               printf("Warning negative age at death: %d line:%d\n",num[i],i);          bool=1;
               agev[m][i]=-1;          if  (cptcovn>0) {
               }            for (z1=1; z1<=cptcoveff; z1++) 
             }              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtabm(j1,z1)]) 
           }                bool=0;
           else if(s[m][i] !=9){ /* Should no more exist */          } 
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);          if (bool==1) { 
             if(mint[m][i]==99 || anint[m][i]==9999)            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
               agev[m][i]=1;              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
             else if(agev[m][i] <agemin){              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
               agemin=agev[m][i];                if(agev[m][i]==0) agev[m][i]=iagemax+1;
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/                if(agev[m][i]==1) agev[m][i]=iagemax+2;
             }                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
             else if(agev[m][i] >agemax){                if (s[m][i]>0 && s[m][i]<=nlstate) { 
               agemax=agev[m][i];                  /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
             }                  prop[s[m][i]][iagemax+3] += weight[i]; 
             /*agev[m][i]=anint[m][i]-annais[i];*/                } 
             /*   agev[m][i] = age[i]+2*m;*/              }
           }            } /* end selection of waves */
           else { /* =9 */          }
             agev[m][i]=1;        }
             s[m][i]=-1;        for(i=iagemin; i <= iagemax+3; i++){  
           }          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
         }            posprop += prop[jk][i]; 
         else /*= 0 Unknown */          } 
           agev[m][i]=1;          
       }          for(jk=1; jk <=nlstate ; jk++){     
                if( i <=  iagemax){ 
     }              if(posprop>=1.e-5){ 
     for (i=1; i<=imx; i++)  {                probs[i][jk][j1]= prop[jk][i]/posprop;
       for(m=1; (m<= maxwav); m++){              } else{
         if (s[m][i] > (nlstate+ndeath)) {                if(first==1){
           printf("Error: Wrong value in nlstate or ndeath\n");                    first=0;
           goto end;                  printf("Warning Observed prevalence probs[%d][%d][%d]=%lf because of lack of cases\nSee others on log file...\n",jk,i,j1,probs[i][jk][j1]);
         }                }
       }              }
     }            } 
           }/* end jk */ 
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);        }/* end i */ 
       /*} *//* end i1 */
     free_vector(severity,1,maxwav);    } /* end j1 */
     free_imatrix(outcome,1,maxwav+1,1,n);    
     free_vector(moisnais,1,n);    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
     free_vector(annais,1,n);    /*free_vector(pp,1,nlstate);*/
     /* free_matrix(mint,1,maxwav,1,n);    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
        free_matrix(anint,1,maxwav,1,n);*/  }  /* End of prevalence */
     free_vector(moisdc,1,n);  
     free_vector(andc,1,n);  /************* Waves Concatenation ***************/
   
      void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
     wav=ivector(1,imx);  {
     dh=imatrix(1,lastpass-firstpass+1,1,imx);    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
     mw=imatrix(1,lastpass-firstpass+1,1,imx);       Death is a valid wave (if date is known).
           mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
     /* Concatenates waves */       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);       and mw[mi+1][i]. dh depends on stepm.
        */
   
       Tcode=ivector(1,100);    int i, mi, m;
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
       ncodemax[1]=1;       double sum=0., jmean=0.;*/
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);    int first;
          int j, k=0,jk, ju, jl;
    codtab=imatrix(1,100,1,10);    double sum=0.;
    h=0;    first=0;
    m=pow(2,cptcoveff);    jmin=100000;
      jmax=-1;
    for(k=1;k<=cptcoveff; k++){    jmean=0.;
      for(i=1; i <=(m/pow(2,k));i++){    for(i=1; i<=imx; i++){
        for(j=1; j <= ncodemax[k]; j++){      mi=0;
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){      m=firstpass;
            h++;      while(s[m][i] <= nlstate){
            if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;        if(s[m][i]>=1 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5)
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/          mw[++mi][i]=m;
          }        if(m >=lastpass)
        }          break;
      }        else
    }          m++;
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);      }/* end while */
       codtab[1][2]=1;codtab[2][2]=2; */      if (s[m][i] > nlstate){
    /* for(i=1; i <=m ;i++){        mi++;     /* Death is another wave */
       for(k=1; k <=cptcovn; k++){        /* if(mi==0)  never been interviewed correctly before death */
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);           /* Only death is a correct wave */
       }        mw[mi][i]=m;
       printf("\n");      }
       }  
       scanf("%d",i);*/      wav[i]=mi;
          if(mi==0){
    /* Calculates basic frequencies. Computes observed prevalence at single age        nbwarn++;
        and prints on file fileres'p'. */        if(first==0){
           printf("Warning! No valid information for individual %ld line=%d (skipped) and may be others, see log file\n",num[i],i);
              first=1;
            }
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        if(first==1){
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          fprintf(ficlog,"Warning! No valid information for individual %ld line=%d (skipped)\n",num[i],i);
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */        }
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      } /* end mi==0 */
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    } /* End individuals */
        
     /* For Powell, parameters are in a vector p[] starting at p[1]    for(i=1; i<=imx; i++){
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */      for(mi=1; mi<wav[i];mi++){
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */        if (stepm <=0)
           dh[mi][i]=1;
     if(mle==1){        else{
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
     }            if (agedc[i] < 2*AGESUP) {
                  j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
     /*--------- results files --------------*/              if(j==0) j=1;  /* Survives at least one month after exam */
     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);              else if(j<0){
                  nberr++;
                 printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
    jk=1;                j=1; /* Temporary Dangerous patch */
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");                printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");                fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
    for(i=1,jk=1; i <=nlstate; i++){                fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview. You MUST fix the contradiction between dates.\n",stepm);
      for(k=1; k <=(nlstate+ndeath); k++){              }
        if (k != i)              k=k+1;
          {              if (j >= jmax){
            printf("%d%d ",i,k);                jmax=j;
            fprintf(ficres,"%1d%1d ",i,k);                ijmax=i;
            for(j=1; j <=ncovmodel; j++){              }
              printf("%f ",p[jk]);              if (j <= jmin){
              fprintf(ficres,"%f ",p[jk]);                jmin=j;
              jk++;                ijmin=i;
            }              }
            printf("\n");              sum=sum+j;
            fprintf(ficres,"\n");              /*if (j<0) printf("j=%d num=%d \n",j,i);*/
          }              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
      }            }
    }          }
  if(mle==1){          else{
     /* Computing hessian and covariance matrix */            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
     ftolhess=ftol; /* Usually correct */  /*        if (j<0) printf("%d %lf %lf %d %d %d\n", i,agev[mw[mi+1][i]][i], agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]); */
     hesscov(matcov, p, npar, delti, ftolhess, func);  
  }            k=k+1;
     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");            if (j >= jmax) {
     printf("# Scales (for hessian or gradient estimation)\n");              jmax=j;
      for(i=1,jk=1; i <=nlstate; i++){              ijmax=i;
       for(j=1; j <=nlstate+ndeath; j++){            }
         if (j!=i) {            else if (j <= jmin){
           fprintf(ficres,"%1d%1d",i,j);              jmin=j;
           printf("%1d%1d",i,j);              ijmin=i;
           for(k=1; k<=ncovmodel;k++){            }
             printf(" %.5e",delti[jk]);            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
             fprintf(ficres," %.5e",delti[jk]);            /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
             jk++;            if(j<0){
           }              nberr++;
           printf("\n");              printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
           fprintf(ficres,"\n");              fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
         }            }
       }            sum=sum+j;
      }          }
              jk= j/stepm;
     k=1;          jl= j -jk*stepm;
     fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");          ju= j -(jk+1)*stepm;
     printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
     for(i=1;i<=npar;i++){            if(jl==0){
       /*  if (k>nlstate) k=1;              dh[mi][i]=jk;
       i1=(i-1)/(ncovmodel*nlstate)+1;              bh[mi][i]=0;
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);            }else{ /* We want a negative bias in order to only have interpolation ie
       printf("%s%d%d",alph[k],i1,tab[i]);*/                    * to avoid the price of an extra matrix product in likelihood */
       fprintf(ficres,"%3d",i);              dh[mi][i]=jk+1;
       printf("%3d",i);              bh[mi][i]=ju;
       for(j=1; j<=i;j++){            }
         fprintf(ficres," %.5e",matcov[i][j]);          }else{
         printf(" %.5e",matcov[i][j]);            if(jl <= -ju){
       }              dh[mi][i]=jk;
       fprintf(ficres,"\n");              bh[mi][i]=jl;       /* bias is positive if real duration
       printf("\n");                                   * is higher than the multiple of stepm and negative otherwise.
       k++;                                   */
     }            }
                else{
     while((c=getc(ficpar))=='#' && c!= EOF){              dh[mi][i]=jk+1;
       ungetc(c,ficpar);              bh[mi][i]=ju;
       fgets(line, MAXLINE, ficpar);            }
       puts(line);            if(dh[mi][i]==0){
       fputs(line,ficparo);              dh[mi][i]=1; /* At least one step */
     }              bh[mi][i]=ju; /* At least one step */
     ungetc(c,ficpar);              /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
     estepm=0;            }
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);          } /* end if mle */
     if (estepm==0 || estepm < stepm) estepm=stepm;        }
     if (fage <= 2) {      } /* end wave */
       bage = ageminpar;    }
       fage = agemaxpar;    jmean=sum/k;
     }    printf("Delay (in months) between two waves Min=%d (for indiviudal %ld) Max=%d (%ld) Mean=%f\n\n ",jmin, num[ijmin], jmax, num[ijmax], jmean);
        fprintf(ficlog,"Delay (in months) between two waves Min=%d (for indiviudal %d) Max=%d (%d) Mean=%f\n\n ",jmin, ijmin, jmax, ijmax, jmean);
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");   }
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);  
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);  /*********** Tricode ****************************/
    void tricode(int *Tvar, int **nbcode, int imx, int *Ndum)
     while((c=getc(ficpar))=='#' && c!= EOF){  {
     ungetc(c,ficpar);    /**< Uses cptcovn+2*cptcovprod as the number of covariates */
     fgets(line, MAXLINE, ficpar);    /*      Tvar[i]=atoi(stre);  find 'n' in Vn and stores in Tvar. If model=V2+V1 Tvar[1]=2 and Tvar[2]=1 
     puts(line);     * Boring subroutine which should only output nbcode[Tvar[j]][k]
     fputs(line,ficparo);     * Tvar[5] in V2+V1+V3*age+V2*V4 is 2 (V2)
   }     * nbcode[Tvar[j]][1]= 
   ungetc(c,ficpar);    */
    
   fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);    int ij=1, k=0, j=0, i=0, maxncov=NCOVMAX;
   fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    int modmaxcovj=0; /* Modality max of covariates j */
  fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);    int cptcode=0; /* Modality max of covariates j */
          int modmincovj=0; /* Modality min of covariates j */
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);    cptcoveff=0; 
     puts(line);   
     fputs(line,ficparo);    for (k=1; k <= maxncov; k++) ncodemax[k]=0; /* Horrible constant again replaced by NCOVMAX */
   }  
   ungetc(c,ficpar);    /* Loop on covariates without age and products */
      for (j=1; j<=(cptcovs); j++) { /* From model V1 + V2*age+ V3 + V3*V4 keeps V1 + V3 = 2 only */
       for (k=-1; k < maxncov; k++) Ndum[k]=0;
    dateprev1=anprev1+mprev1/12.+jprev1/365.;      for (i=1; i<=imx; i++) { /* Loop on individuals: reads the data file to get the maximum value of the 
    dateprev2=anprev2+mprev2/12.+jprev2/365.;                                 modality of this covariate Vj*/ 
         ij=(int)(covar[Tvar[j]][i]); /* ij=0 or 1 or -1. Value of the covariate Tvar[j] for individual i
   fscanf(ficpar,"pop_based=%d\n",&popbased);                                      * If product of Vn*Vm, still boolean *:
   fprintf(ficparo,"pop_based=%d\n",popbased);                                        * If it was coded 1, 2, 3, 4 should be splitted into 3 boolean variables
   fprintf(ficres,"pop_based=%d\n",popbased);                                        * 1 => 0 0 0, 2 => 0 0 1, 3 => 0 1 1, 4=1 0 0   */
          /* Finds for covariate j, n=Tvar[j] of Vn . ij is the
   while((c=getc(ficpar))=='#' && c!= EOF){                                        modality of the nth covariate of individual i. */
     ungetc(c,ficpar);        if (ij > modmaxcovj)
     fgets(line, MAXLINE, ficpar);          modmaxcovj=ij; 
     puts(line);        else if (ij < modmincovj) 
     fputs(line,ficparo);          modmincovj=ij; 
   }        if ((ij < -1) && (ij > NCOVMAX)){
   ungetc(c,ficpar);          printf( "Error: minimal is less than -1 or maximal is bigger than %d. Exiting. \n", NCOVMAX );
           exit(1);
   fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mov_average=%d\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilav);        }else
 fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);        Ndum[ij]++; /*counts and stores the occurence of this modality 0, 1, -1*/
 fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);        /*  If coded 1, 2, 3 , counts the number of 1 Ndum[1], number of 2, Ndum[2], etc */
         /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
         /* getting the maximum value of the modality of the covariate
 while((c=getc(ficpar))=='#' && c!= EOF){           (should be 0 or 1 now) Tvar[j]. If V=sex and male is coded 0 and
     ungetc(c,ficpar);           female is 1, then modmaxcovj=1.*/
     fgets(line, MAXLINE, ficpar);      } /* end for loop on individuals i */
     puts(line);      printf(" Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
     fputs(line,ficparo);      fprintf(ficlog," Minimal and maximal values of %d th covariate V%d: min=%d max=%d \n", j, Tvar[j], modmincovj, modmaxcovj);
   }      cptcode=modmaxcovj;
   ungetc(c,ficpar);      /* Ndum[0] = frequency of 0 for model-covariate j, Ndum[1] frequency of 1 etc. */
      /*for (i=0; i<=cptcode; i++) {*/
   fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);      for (k=modmincovj;  k<=modmaxcovj; k++) { /* k=-1 ? 0 and 1*//* For each value k of the modality of model-cov j */
   fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);        printf("Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);        fprintf(ficlog, "Frequencies of covariates %d ie V%d with value %d: %d\n", j, Tvar[j], k, Ndum[k]);
         if( Ndum[k] != 0 ){ /* Counts if nobody answered modality k ie empty modality, we skip it and reorder */
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);          if( k != -1){
             ncodemax[j]++;  /* ncodemax[j]= Number of modalities of the j th
 /*------------ gnuplot -------------*/                               covariate for which somebody answered excluding 
   strcpy(optionfilegnuplot,optionfilefiname);                               undefined. Usually 2: 0 and 1. */
   strcat(optionfilegnuplot,".gp");          }
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {          ncodemaxwundef[j]++; /* ncodemax[j]= Number of modalities of the j th
     printf("Problem with file %s",optionfilegnuplot);                               covariate for which somebody answered including 
   }                               undefined. Usually 3: -1, 0 and 1. */
   fclose(ficgp);        }
  printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);        /* In fact  ncodemax[j]=2 (dichotom. variables only) but it could be more for
 /*--------- index.htm --------*/           historical reasons: 3 if coded 1, 2, 3 and 4 and Ndum[2]=0 */
       } /* Ndum[-1] number of undefined modalities */
   strcpy(optionfilehtm,optionfile);  
   strcat(optionfilehtm,".htm");      /* j is a covariate, n=Tvar[j] of Vn; Fills nbcode */
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {      /* For covariate j, modalities could be 1, 2, 3, 4, 5, 6, 7. 
     printf("Problem with %s \n",optionfilehtm), exit(0);         If Ndum[1]=0, Ndum[2]=0, Ndum[3]= 635, Ndum[4]=0, Ndum[5]=0, Ndum[6]=27, Ndum[7]=125;
   }         modmincovj=3; modmaxcovj = 7;
          There are only 3 modalities non empty 3, 6, 7 (or 2 if 27 is too few) : ncodemax[j]=3;
   fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n         which will be coded 0, 1, 2 which in binary on 2=3-1 digits are 0=00 1=01, 2=10;
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n         defining two dummy variables: variables V1_1 and V1_2.
 \n         nbcode[Tvar[j]][ij]=k;
 Total number of observations=%d <br>\n         nbcode[Tvar[j]][1]=0;
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n         nbcode[Tvar[j]][2]=1;
 <hr  size=\"2\" color=\"#EC5E5E\">         nbcode[Tvar[j]][3]=2;
  <ul><li>Parameter files<br>\n         To be continued (not working yet).
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n      */
  - Gnuplot file name: <a href=\"%s\">%s</a><br></ul>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,optionfilegnuplot,optionfilegnuplot);      ij=0; /* ij is similar to i but can jump over null modalities */
   fclose(fichtm);      for (i=modmincovj; i<=modmaxcovj; i++) { /* i= 1 to 2 for dichotomous, or from 1 to 3 or from -1 or 0 to 1 currently*/
           if (Ndum[i] == 0) { /* If nobody responded to this modality k */
  printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);            break;
            }
 /*------------ free_vector  -------------*/          ij++;
  chdir(path);          nbcode[Tvar[j]][ij]=i;  /* stores the original value of modality i in an array nbcode, ij modality from 1 to last non-nul modality.*/
            cptcode = ij; /* New max modality for covar j */
  free_ivector(wav,1,imx);      } /* end of loop on modality i=-1 to 1 or more */
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);        
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);        /*   for (k=0; k<= cptcode; k++) { /\* k=-1 ? k=0 to 1 *\//\* Could be 1 to 4 *\//\* cptcode=modmaxcovj *\/ */
  free_ivector(num,1,n);      /*  /\*recode from 0 *\/ */
  free_vector(agedc,1,n);      /*                               k is a modality. If we have model=V1+V1*sex  */
  /*free_matrix(covar,1,NCOVMAX,1,n);*/      /*                               then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
  fclose(ficparo);      /*                            But if some modality were not used, it is recoded from 0 to a newer modmaxcovj=cptcode *\/ */
  fclose(ficres);      /*  } */
       /*  /\* cptcode = ij; *\/ /\* New max modality for covar j *\/ */
       /*  if (ij > ncodemax[j]) { */
   /*--------------- Prevalence limit --------------*/      /*    printf( " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]);  */
        /*    fprintf(ficlog, " Error ij=%d > ncodemax[%d]=%d\n", ij, j, ncodemax[j]); */
   strcpy(filerespl,"pl");      /*    break; */
   strcat(filerespl,fileres);      /*  } */
   if((ficrespl=fopen(filerespl,"w"))==NULL) {      /*   }  /\* end of loop on modality k *\/ */
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;    } /* end of loop on model-covariate j. nbcode[Tvarj][1]=0 and nbcode[Tvarj][2]=1 sets the value of covariate j*/  
   }    
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);   for (k=-1; k< maxncov; k++) Ndum[k]=0; 
   fprintf(ficrespl,"#Prevalence limit\n");    
   fprintf(ficrespl,"#Age ");    for (i=1; i<=ncovmodel-2-nagesqr; i++) { /* -2, cste and age and eventually age*age */ 
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);     /* Listing of all covariables in statement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/ 
   fprintf(ficrespl,"\n");     ij=Tvar[i]; /* Tvar might be -1 if status was unknown */ 
       Ndum[ij]++; /* Might be supersed V1 + V1*age */
   prlim=matrix(1,nlstate,1,nlstate);   } 
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */   ij=0;
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */   for (i=0; i<=  maxncov-1; i++) { /* modmaxcovj is unknown here. Only Ndum[2(V2),3(age*V3), 5(V3*V2) 6(V1*V4) */
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */     /*printf("Ndum[%d]=%d\n",i, Ndum[i]);*/
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */     if((Ndum[i]!=0) && (i<=ncovcol)){
   k=0;       ij++;
   agebase=ageminpar;       /*printf("diff Ndum[%d]=%d\n",i, Ndum[i]);*/
   agelim=agemaxpar;       Tvaraff[ij]=i; /*For printing (unclear) */
   ftolpl=1.e-10;     }else{
   i1=cptcoveff;         /* Tvaraff[ij]=0; */
   if (cptcovn < 1){i1=1;}     }
    }
   for(cptcov=1;cptcov<=i1;cptcov++){   /* ij--; */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){   cptcoveff=ij; /*Number of total covariates*/
         k=k+1;  
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/  }
         fprintf(ficrespl,"\n#******");  
         for(j=1;j<=cptcoveff;j++)  
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  /*********** Health Expectancies ****************/
         fprintf(ficrespl,"******\n");  
          void evsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,char strstart[] )
         for (age=agebase; age<=agelim; age++){  
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);  {
           fprintf(ficrespl,"%.0f",age );    /* Health expectancies, no variances */
           for(i=1; i<=nlstate;i++)    int i, j, nhstepm, hstepm, h, nstepm;
           fprintf(ficrespl," %.5f", prlim[i][i]);    int nhstepma, nstepma; /* Decreasing with age */
           fprintf(ficrespl,"\n");    double age, agelim, hf;
         }    double ***p3mat;
       }    double eip;
     }  
   fclose(ficrespl);    pstamp(ficreseij);
     fprintf(ficreseij,"# (a) Life expectancies by health status at initial age and (b) health expectancies by health status at initial age\n");
   /*------------- h Pij x at various ages ------------*/    fprintf(ficreseij,"# Age");
      for(i=1; i<=nlstate;i++){
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);      for(j=1; j<=nlstate;j++){
   if((ficrespij=fopen(filerespij,"w"))==NULL) {        fprintf(ficreseij," e%1d%1d ",i,j);
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;      }
   }      fprintf(ficreseij," e%1d. ",i);
   printf("Computing pij: result on file '%s' \n", filerespij);    }
      fprintf(ficreseij,"\n");
   stepsize=(int) (stepm+YEARM-1)/YEARM;  
   /*if (stepm<=24) stepsize=2;*/    
     if(estepm < stepm){
   agelim=AGESUP;      printf ("Problem %d lower than %d\n",estepm, stepm);
   hstepm=stepsize*YEARM; /* Every year of age */    }
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    else  hstepm=estepm;   
      /* We compute the life expectancy from trapezoids spaced every estepm months
   k=0;     * This is mainly to measure the difference between two models: for example
   for(cptcov=1;cptcov<=i1;cptcov++){     * if stepm=24 months pijx are given only every 2 years and by summing them
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){     * we are calculating an estimate of the Life Expectancy assuming a linear 
       k=k+1;     * progression in between and thus overestimating or underestimating according
         fprintf(ficrespij,"\n#****** ");     * to the curvature of the survival function. If, for the same date, we 
         for(j=1;j<=cptcoveff;j++)     * estimate the model with stepm=1 month, we can keep estepm to 24 months
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);     * to compare the new estimate of Life expectancy with the same linear 
         fprintf(ficrespij,"******\n");     * hypothesis. A more precise result, taking into account a more precise
             * curvature will be obtained if estepm is as small as stepm. */
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    /* For example we decided to compute the life expectancy with the smallest unit */
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);       nhstepm is the number of hstepm from age to agelim 
           oldm=oldms;savm=savms;       nstepm is the number of stepm from age to agelin. 
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);         Look at hpijx to understand the reason of that which relies in memory size
           fprintf(ficrespij,"# Age");       and note for a fixed period like estepm months */
           for(i=1; i<=nlstate;i++)    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
             for(j=1; j<=nlstate+ndeath;j++)       survival function given by stepm (the optimization length). Unfortunately it
               fprintf(ficrespij," %1d-%1d",i,j);       means that if the survival funtion is printed only each two years of age and if
           fprintf(ficrespij,"\n");       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
            for (h=0; h<=nhstepm; h++){       results. So we changed our mind and took the option of the best precision.
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );    */
             for(i=1; i<=nlstate;i++)    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
               for(j=1; j<=nlstate+ndeath;j++)  
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);    agelim=AGESUP;
             fprintf(ficrespij,"\n");    /* If stepm=6 months */
              }      /* Computed by stepm unit matrices, product of hstepm matrices, stored
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
           fprintf(ficrespij,"\n");      
         }  /* nhstepm age range expressed in number of stepm */
     }    nstepm=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
   }    /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /* if (stepm >= YEARM) hstepm=1;*/
   varprob(optionfilefiname, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   fclose(ficrespij);  
     for (age=bage; age<=fage; age ++){ 
       nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
   /*---------- Forecasting ------------------*/      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
   if((stepm == 1) && (strcmp(model,".")==0)){      /* if (stepm >= YEARM) hstepm=1;*/
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);      nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);  
   }      /* If stepm=6 months */
   else{      /* Computed by stepm unit matrices, product of hstepma matrices, stored
     erreur=108;         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
     printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model);      
   }      hpxij(p3mat,nhstepma,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
        
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   /*---------- Health expectancies and variances ------------*/      
       printf("%d|",(int)age);fflush(stdout);
   strcpy(filerest,"t");      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
   strcat(filerest,fileres);      
   if((ficrest=fopen(filerest,"w"))==NULL) {      /* Computing expectancies */
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;      for(i=1; i<=nlstate;i++)
   }        for(j=1; j<=nlstate;j++)
   printf("Computing Total LEs with variances: file '%s' \n", filerest);          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
             
   strcpy(filerese,"e");            /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   strcat(filerese,fileres);  
   if((ficreseij=fopen(filerese,"w"))==NULL) {          }
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);  
   }      fprintf(ficreseij,"%3.0f",age );
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);      for(i=1; i<=nlstate;i++){
         eip=0;
  strcpy(fileresv,"v");        for(j=1; j<=nlstate;j++){
   strcat(fileresv,fileres);          eip +=eij[i][j][(int)age];
   if((ficresvij=fopen(fileresv,"w"))==NULL) {          fprintf(ficreseij,"%9.4f", eij[i][j][(int)age] );
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);        }
   }        fprintf(ficreseij,"%9.4f", eip );
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);      }
   calagedate=-1;      fprintf(ficreseij,"\n");
 prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      
     }
   k=0;    free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   for(cptcov=1;cptcov<=i1;cptcov++){    printf("\n");
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    fprintf(ficlog,"\n");
       k=k+1;    
       fprintf(ficrest,"\n#****** ");  }
       for(j=1;j<=cptcoveff;j++)  
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  void cvevsij(double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int cij, int estepm,double delti[],double **matcov,char strstart[] )
       fprintf(ficrest,"******\n");  
   {
       fprintf(ficreseij,"\n#****** ");    /* Covariances of health expectancies eij and of total life expectancies according
       for(j=1;j<=cptcoveff;j++)     to initial status i, ei. .
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    */
       fprintf(ficreseij,"******\n");    int i, j, nhstepm, hstepm, h, nstepm, k, cptj, cptj2, i2, j2, ij, ji;
     int nhstepma, nstepma; /* Decreasing with age */
       fprintf(ficresvij,"\n#****** ");    double age, agelim, hf;
       for(j=1;j<=cptcoveff;j++)    double ***p3matp, ***p3matm, ***varhe;
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    double **dnewm,**doldm;
       fprintf(ficresvij,"******\n");    double *xp, *xm;
     double **gp, **gm;
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);    double ***gradg, ***trgradg;
       oldm=oldms;savm=savms;    int theta;
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);    
      double eip, vip;
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);  
       oldm=oldms;savm=savms;    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
        varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm);    xp=vector(1,npar);
        xm=vector(1,npar);
     dnewm=matrix(1,nlstate*nlstate,1,npar);
      doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");    
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);    pstamp(ficresstdeij);
       fprintf(ficrest,"\n");    fprintf(ficresstdeij,"# Health expectancies with standard errors\n");
     fprintf(ficresstdeij,"# Age");
       epj=vector(1,nlstate+1);    for(i=1; i<=nlstate;i++){
       for(age=bage; age <=fage ;age++){      for(j=1; j<=nlstate;j++)
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);        fprintf(ficresstdeij," e%1d%1d (SE)",i,j);
         if (popbased==1) {      fprintf(ficresstdeij," e%1d. ",i);
           for(i=1; i<=nlstate;i++)    }
             prlim[i][i]=probs[(int)age][i][k];    fprintf(ficresstdeij,"\n");
         }  
            pstamp(ficrescveij);
         fprintf(ficrest," %4.0f",age);    fprintf(ficrescveij,"# Subdiagonal matrix of covariances of health expectancies by age: cov(eij,ekl)\n");
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){    fprintf(ficrescveij,"# Age");
           for(i=1, epj[j]=0.;i <=nlstate;i++) {    for(i=1; i<=nlstate;i++)
             epj[j] += prlim[i][i]*eij[i][j][(int)age];      for(j=1; j<=nlstate;j++){
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/        cptj= (j-1)*nlstate+i;
           }        for(i2=1; i2<=nlstate;i2++)
           epj[nlstate+1] +=epj[j];          for(j2=1; j2<=nlstate;j2++){
         }            cptj2= (j2-1)*nlstate+i2;
             if(cptj2 <= cptj)
         for(i=1, vepp=0.;i <=nlstate;i++)              fprintf(ficrescveij,"  %1d%1d,%1d%1d",i,j,i2,j2);
           for(j=1;j <=nlstate;j++)          }
             vepp += vareij[i][j][(int)age];      }
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));    fprintf(ficrescveij,"\n");
         for(j=1;j <=nlstate;j++){    
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));    if(estepm < stepm){
         }      printf ("Problem %d lower than %d\n",estepm, stepm);
         fprintf(ficrest,"\n");    }
       }    else  hstepm=estepm;   
     }    /* We compute the life expectancy from trapezoids spaced every estepm months
   }     * This is mainly to measure the difference between two models: for example
 free_matrix(mint,1,maxwav,1,n);     * if stepm=24 months pijx are given only every 2 years and by summing them
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);     * we are calculating an estimate of the Life Expectancy assuming a linear 
     free_vector(weight,1,n);     * progression in between and thus overestimating or underestimating according
   fclose(ficreseij);     * to the curvature of the survival function. If, for the same date, we 
   fclose(ficresvij);     * estimate the model with stepm=1 month, we can keep estepm to 24 months
   fclose(ficrest);     * to compare the new estimate of Life expectancy with the same linear 
   fclose(ficpar);     * hypothesis. A more precise result, taking into account a more precise
   free_vector(epj,1,nlstate+1);     * curvature will be obtained if estepm is as small as stepm. */
    
   /*------- Variance limit prevalence------*/      /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
   strcpy(fileresvpl,"vpl");       nhstepm is the number of hstepm from age to agelim 
   strcat(fileresvpl,fileres);       nstepm is the number of stepm from age to agelin. 
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {       Look at hpijx to understand the reason of that which relies in memory size
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);       and note for a fixed period like estepm months */
     exit(0);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
   }       survival function given by stepm (the optimization length). Unfortunately it
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);       means that if the survival funtion is printed only each two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
   k=0;       results. So we changed our mind and took the option of the best precision.
   for(cptcov=1;cptcov<=i1;cptcov++){    */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
       k=k+1;  
       fprintf(ficresvpl,"\n#****** ");    /* If stepm=6 months */
       for(j=1;j<=cptcoveff;j++)    /* nhstepm age range expressed in number of stepm */
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    agelim=AGESUP;
       fprintf(ficresvpl,"******\n");    nstepm=(int) rint((agelim-bage)*YEARM/stepm); 
          /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
       varpl=matrix(1,nlstate,(int) bage, (int) fage);    /* if (stepm >= YEARM) hstepm=1;*/
       oldm=oldms;savm=savms;    nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);    
     }    p3matp=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
  }    p3matm=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
   fclose(ficresvpl);    trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
     gp=matrix(0,nhstepm,1,nlstate*nlstate);
   /*---------- End : free ----------------*/    gm=matrix(0,nhstepm,1,nlstate*nlstate);
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);  
      for (age=bage; age<=fage; age ++){ 
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);      nstepma=(int) rint((agelim-bage)*YEARM/stepm); /* Biggest nstepm */
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
        /* if (stepm >= YEARM) hstepm=1;*/
        nhstepma = nstepma/hstepm;/* Expressed in hstepm, typically nhstepma=40/4=10 */
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);  
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);      /* If stepm=6 months */
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);      /* Computed by stepm unit matrices, product of hstepma matrices, stored
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);         in an array of nhstepma length: nhstepma=10, hstepm=4, stepm=6 months */
        
   free_matrix(matcov,1,npar,1,npar);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   free_vector(delti,1,npar);  
   free_matrix(agev,1,maxwav,1,imx);      /* Computing  Variances of health expectancies */
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);      /* Gradient is computed with plus gp and minus gm. Code is duplicated in order to
          decrease memory allocation */
   fprintf(fichtm,"\n</body>");      for(theta=1; theta <=npar; theta++){
   fclose(fichtm);        for(i=1; i<=npar; i++){ 
   fclose(ficgp);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
            xm[i] = x[i] - (i==theta ?delti[theta]:0);
         }
   if(erreur >0)        hpxij(p3matp,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, cij);  
     printf("End of Imach with error or warning %d\n",erreur);        hpxij(p3matm,nhstepm,age,hstepm,xm,nlstate,stepm,oldm,savm, cij);  
   else   printf("End of Imach\n");    
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */        for(j=1; j<= nlstate; j++){
            for(i=1; i<=nlstate; i++){
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/            for(h=0; h<=nhstepm-1; h++){
   /*printf("Total time was %d uSec.\n", total_usecs);*/              gp[h][(j-1)*nlstate + i] = (p3matp[i][j][h]+p3matp[i][j][h+1])/2.;
   /*------ End -----------*/              gm[h][(j-1)*nlstate + i] = (p3matm[i][j][h]+p3matm[i][j][h+1])/2.;
             }
           }
  end:        }
 #ifdef windows       
   /* chdir(pathcd);*/        for(ij=1; ij<= nlstate*nlstate; ij++)
 #endif          for(h=0; h<=nhstepm-1; h++){
  /*system("wgnuplot graph.plt");*/            gradg[h][theta][ij]= (gp[h][ij]-gm[h][ij])/2./delti[theta];
  /*system("../gp37mgw/wgnuplot graph.plt");*/          }
  /*system("cd ../gp37mgw");*/      }/* End theta */
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/      
  strcpy(plotcmd,GNUPLOTPROGRAM);      
  strcat(plotcmd," ");      for(h=0; h<=nhstepm-1; h++)
  strcat(plotcmd,optionfilegnuplot);        for(j=1; j<=nlstate*nlstate;j++)
  system(plotcmd);          for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
 #ifdef windows      
   while (z[0] != 'q') {  
     /* chdir(path); */       for(ij=1;ij<=nlstate*nlstate;ij++)
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");        for(ji=1;ji<=nlstate*nlstate;ji++)
     scanf("%s",z);          varhe[ij][ji][(int)age] =0.;
     if (z[0] == 'c') system("./imach");  
     else if (z[0] == 'e') system(optionfilehtm);       printf("%d|",(int)age);fflush(stdout);
     else if (z[0] == 'g') system(plotcmd);       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
     else if (z[0] == 'q') exit(0);       for(h=0;h<=nhstepm-1;h++){
   }        for(k=0;k<=nhstepm-1;k++){
 #endif          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
 }          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
           for(ij=1;ij<=nlstate*nlstate;ij++)
             for(ji=1;ji<=nlstate*nlstate;ji++)
               varhe[ij][ji][(int)age] += doldm[ij][ji]*hf*hf;
         }
       }
   
       /* Computing expectancies */
       hpxij(p3matm,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, cij);  
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++)
           for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
             eij[i][j][(int)age] += (p3matm[i][j][h]+p3matm[i][j][h+1])/2.0*hf;
             
             /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   
           }
   
       fprintf(ficresstdeij,"%3.0f",age );
       for(i=1; i<=nlstate;i++){
         eip=0.;
         vip=0.;
         for(j=1; j<=nlstate;j++){
           eip += eij[i][j][(int)age];
           for(k=1; k<=nlstate;k++) /* Sum on j and k of cov(eij,eik) */
             vip += varhe[(j-1)*nlstate+i][(k-1)*nlstate+i][(int)age];
           fprintf(ficresstdeij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[(j-1)*nlstate+i][(j-1)*nlstate+i][(int)age]) );
         }
         fprintf(ficresstdeij," %9.4f (%.4f)", eip, sqrt(vip));
       }
       fprintf(ficresstdeij,"\n");
   
       fprintf(ficrescveij,"%3.0f",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           cptj= (j-1)*nlstate+i;
           for(i2=1; i2<=nlstate;i2++)
             for(j2=1; j2<=nlstate;j2++){
               cptj2= (j2-1)*nlstate+i2;
               if(cptj2 <= cptj)
                 fprintf(ficrescveij," %.4f", varhe[cptj][cptj2][(int)age]);
             }
         }
       fprintf(ficrescveij,"\n");
      
     }
     free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
     free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
     free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
     free_ma3x(p3matm,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     free_ma3x(p3matp,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     printf("\n");
     fprintf(ficlog,"\n");
   
     free_vector(xm,1,npar);
     free_vector(xp,1,npar);
     free_matrix(dnewm,1,nlstate*nlstate,1,npar);
     free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
     free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
   }
   
   /************ Variance ******************/
   void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav, char strstart[])
   {
     /* Variance of health expectancies */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     /* double **newm;*/
     /* int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav)*/
     
     int movingaverage();
     double **dnewm,**doldm;
     double **dnewmp,**doldmp;
     int i, j, nhstepm, hstepm, h, nstepm ;
     int k;
     double *xp;
     double **gp, **gm;  /* for var eij */
     double ***gradg, ***trgradg; /*for var eij */
     double **gradgp, **trgradgp; /* for var p point j */
     double *gpp, *gmp; /* for var p point j */
     double **varppt; /* for var p point j nlstate to nlstate+ndeath */
     double ***p3mat;
     double age,agelim, hf;
     double ***mobaverage;
     int theta;
     char digit[4];
     char digitp[25];
   
     char fileresprobmorprev[FILENAMELENGTH];
   
     if(popbased==1){
       if(mobilav!=0)
         strcpy(digitp,"-populbased-mobilav-");
       else strcpy(digitp,"-populbased-nomobil-");
     }
     else 
       strcpy(digitp,"-stablbased-");
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     strcpy(fileresprobmorprev,"prmorprev"); 
     sprintf(digit,"%-d",ij);
     /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     strcat(fileresprobmorprev,digit); /* Tvar to be done */
     strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     strcat(fileresprobmorprev,fileres);
     if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobmorprev);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
    
     fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     pstamp(ficresprobmorprev);
     fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
     fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       fprintf(ficresprobmorprev," p.%-d SE",j);
       for(i=1; i<=nlstate;i++)
         fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     }  
     fprintf(ficresprobmorprev,"\n");
     fprintf(ficgp,"\n# Routine varevsij");
     fprintf(ficgp,"\nunset title \n");
   /* fprintf(fichtm, "#Local time at start: %s", strstart);*/
     fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
     fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
   /*   } */
     varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     pstamp(ficresvij);
     fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are ");
     if(popbased==1)
       fprintf(ficresvij,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d\n",mobilav);
     else
       fprintf(ficresvij,"the age specific period (stable) prevalences in each health state \n");
     fprintf(ficresvij,"# Age");
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=nlstate;j++)
         fprintf(ficresvij," Cov(e.%1d, e.%1d)",i,j);
     fprintf(ficresvij,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
     doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   
     gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
     gpp=vector(nlstate+1,nlstate+ndeath);
     gmp=vector(nlstate+1,nlstate+ndeath);
     trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
     /* For example we decided to compute the life expectancy with the smallest unit */
     /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
        Look at function hpijx to understand why (it is linked to memory size questions) */
     /* We decided (b) to get a life expectancy respecting the most precise curvature of the
        survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed every two years of age and if
        you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
     */
     hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
       gp=matrix(0,nhstepm,1,nlstate);
       gm=matrix(0,nhstepm,1,nlstate);
   
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
     
         for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
             for(i=1, gp[h][j]=0.;i<=nlstate;i++)
               gp[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gpp[j]=0.; i<= nlstate; i++)
             gpp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(i=1; i<=npar; i++) /* Computes gradient x - delta */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
    
         if (popbased==1) {
           if(mobilav ==0){
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
           }
         }
   
         for(j=1; j<= nlstate; j++){  /* Sum of wi * eij = e.j */
           for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
               gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
         }
         /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
            as a weighted average of prlim.
         */
         for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for(i=1,gmp[j]=0.; i<= nlstate; i++)
            gmp[j] += prlim[i][i]*p3mat[i][j][1];
         }    
         /* end probability of death */
   
         for(j=1; j<= nlstate; j++) /* vareij */
           for(h=0; h<=nhstepm; h++){
             gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           }
   
         for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
           gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
   
       } /* End theta */
   
       trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
   
       for(h=0; h<=nhstepm; h++) /* veij */
         for(j=1; j<=nlstate;j++)
           for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   
       for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
         for(theta=1; theta <=npar; theta++)
           trgradgp[j][theta]=gradgp[theta][j];
     
   
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       for(i=1;i<=nlstate;i++)
         for(j=1;j<=nlstate;j++)
           vareij[i][j][(int)age] =0.;
   
       for(h=0;h<=nhstepm;h++){
         for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
           matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
           for(i=1;i<=nlstate;i++)
             for(j=1;j<=nlstate;j++)
               vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }
       }
     
       /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
       matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
       for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
           varppt[j][i]=doldmp[j][i];
       /* end ppptj */
       /*  x centered again */
       hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
    
       if (popbased==1) {
         if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=probs[(int)age][i][ij];
         }else{ /* mobilav */ 
           for(i=1; i<=nlstate;i++)
             prlim[i][i]=mobaverage[(int)age][i][ij];
         }
       }
                
       /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
          as a weighted average of prlim.
       */
       for(j=nlstate+1;j<=nlstate+ndeath;j++){
         for(i=1,gmp[j]=0.;i<= nlstate; i++) 
           gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
       }    
       /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       for(j=nlstate+1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
         for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
         }
       } 
       fprintf(ficresprobmorprev,"\n");
   
       fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         }
       fprintf(ficresvij,"\n");
       free_matrix(gp,0,nhstepm,1,nlstate);
       free_matrix(gm,0,nhstepm,1,nlstate);
       free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
       free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
       free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     } /* End age */
     free_vector(gpp,nlstate+1,nlstate+ndeath);
     free_vector(gmp,nlstate+1,nlstate+ndeath);
     free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
     free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     /* fprintf(ficgp,"\nunset parametric;unset label; set ter png small size 320, 240"); */
     fprintf(ficgp,"\nunset parametric;unset label; set ter svg size 640, 480");
     /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
     fprintf(ficgp,"\n set log y; unset log x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
     fprintf(ficgp,"\nset out \"%s%s.svg\";",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
   /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l lt 1 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95%% interval\" w l lt 2 ",subdirf(fileresprobmorprev));
     fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l lt 2 ",subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
     fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.svg\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
     /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.svg\"> <br>\n", stepm,YEARM,digitp,digit);
   */
   /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.svg\";replot;",digitp,optionfilefiname,digit); */
     fprintf(ficgp,"\nset out;\nset out \"%s%s.svg\";replot;set out;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
     free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficresprobmorprev);
     fflush(ficgp);
     fflush(fichtm); 
   }  /* end varevsij */
   
   /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, char strstart[])
   {
     /* Variance of prevalence limit */
     /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
   
     double **dnewm,**doldm;
     int i, j, nhstepm, hstepm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double age,agelim;
     int theta;
     
     pstamp(ficresvpl);
     fprintf(ficresvpl,"# Standard deviation of period (stable) prevalences \n");
     fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
   
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     
     hstepm=1*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     agelim = AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
       nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
       gp=vector(1,nlstate);
       gm=vector(1,nlstate);
   
       for(theta=1; theta <=npar; theta++){
         for(i=1; i<=npar; i++){ /* Computes gradient */
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
         }
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gp[i] = prlim[i][i];
       
         for(i=1; i<=npar; i++) /* Computes gradient */
           xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
           gm[i] = prlim[i][i];
   
         for(i=1;i<=nlstate;i++)
           gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       } /* End theta */
   
       trgradg =matrix(1,nlstate,1,npar);
   
       for(j=1; j<=nlstate;j++)
         for(theta=1; theta <=npar; theta++)
           trgradg[j][theta]=gradg[theta][j];
   
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] =0.;
       matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       for(i=1;i<=nlstate;i++)
         varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
       fprintf(ficresvpl,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
         fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
       free_vector(gp,1,nlstate);
       free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
       free_matrix(trgradg,1,nlstate,1,npar);
     } /* End age */
   
     free_vector(xp,1,npar);
     free_matrix(doldm,1,nlstate,1,npar);
     free_matrix(dnewm,1,nlstate,1,nlstate);
   
   }
   
   /************ Variance of one-step probabilities  ******************/
   void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax, char strstart[])
   {
     int i, j=0,  k1, l1, tj;
     int k2, l2, j1,  z1;
     int k=0, l;
     int first=1, first1, first2;
     double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
     double **dnewm,**doldm;
     double *xp;
     double *gp, *gm;
     double **gradg, **trgradg;
     double **mu;
     double age, cov[NCOVMAX+1];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
     int theta;
     char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
     double ***varpij;
   
     strcpy(fileresprob,"prob"); 
     strcat(fileresprob,fileres);
     if((ficresprob=fopen(fileresprob,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprob);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
     }
     strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
     if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcov);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     }
     strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
       printf("Problem with resultfile: %s\n", fileresprobcor);
       fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     }
     printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
     printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     pstamp(ficresprob);
     fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficresprob,"# Age");
     pstamp(ficresprobcov);
     fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     pstamp(ficresprobcor);
     fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     fprintf(ficresprobcor,"# Age");
   
   
     for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprob," p%1d-%1d (SE)",i,j);
         fprintf(ficresprobcov," p%1d-%1d ",i,j);
         fprintf(ficresprobcor," p%1d-%1d ",i,j);
       }  
    /* fprintf(ficresprob,"\n");
     fprintf(ficresprobcov,"\n");
     fprintf(ficresprobcor,"\n");
    */
     xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
     doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
     varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
     first=1;
     fprintf(ficgp,"\n# Routine varprob");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
     fprintf(fichtm,"\n");
   
     fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Matrix of variance-covariance of one-step probabilities (drawings)</a></h4> this page is important in order to visualize confidence intervals and especially correlation between disability and recovery, or more generally, way in and way back.</li>\n",optionfilehtmcov);
     fprintf(fichtmcov,"Current page is file <a href=\"%s\">%s</a><br>\n\n<h4>Matrix of variance-covariance of pairs of step probabilities</h4>\n",optionfilehtmcov, optionfilehtmcov);
     fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated \
   and drawn. It helps understanding how is the covariance between two incidences.\
    They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
     fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
   It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
   would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
   standard deviations wide on each axis. <br>\
    Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
    and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
   To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
   
     cov[1]=1;
     /* tj=cptcoveff; */
     tj = (int) pow(2,cptcoveff);
     if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
     for(j1=1; j1<=tj;j1++){
       /*for(i1=1; i1<=ncodemax[t];i1++){ */
       /*j1++;*/
         if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficresprob, "**********\n#\n");
           fprintf(ficresprobcov, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficresprobcov, "**********\n#\n");
           
           fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficgp, "**********\n#\n");
           
           
           fprintf(fichtmcov, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(fichtmcov, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
           
           fprintf(ficresprobcor, "\n#********** Variable ");    
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtabm(j1,z1)]);
           fprintf(ficresprobcor, "**********\n#");    
         }
         
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
         gp=vector(1,(nlstate)*(nlstate+ndeath));
         gm=vector(1,(nlstate)*(nlstate+ndeath));
         for (age=bage; age<=fage; age ++){ 
           cov[2]=age;
           if(nagesqr==1)
             cov[3]= age*age;
           for (k=1; k<=cptcovn;k++) {
             cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,k)];
             /*cov[2+nagesqr+k]=nbcode[Tvar[k]][codtabm(j1,Tvar[k])];*//* j1 1 2 3 4
                                                            * 1  1 1 1 1
                                                            * 2  2 1 1 1
                                                            * 3  1 2 1 1
                                                            */
             /* nbcode[1][1]=0 nbcode[1][2]=1;*/
           }
           /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2]; */
           for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,k)]*cov[2];
           for (k=1; k<=cptcovprod;k++)
             cov[2+nagesqr+Tprod[k]]=nbcode[Tvard[k][1]][codtabm(ij,k)]*nbcode[Tvard[k][2]][codtabm(ij,k)];
           
       
           for(theta=1; theta <=npar; theta++){
             for(i=1; i<=npar; i++)
               xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
             
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             
             k=0;
             for(i=1; i<= (nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gp[k]=pmmij[i][j];
               }
             }
             
             for(i=1; i<=npar; i++)
               xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
       
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
             k=0;
             for(i=1; i<=(nlstate); i++){
               for(j=1; j<=(nlstate+ndeath);j++){
                 k=k+1;
                 gm[k]=pmmij[i][j];
               }
             }
        
             for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
               gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
           }
   
           for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
             for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
           
           matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
           matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
   
           pmij(pmmij,cov,ncovmodel,x,nlstate);
           
           k=0;
           for(i=1; i<=(nlstate); i++){
             for(j=1; j<=(nlstate+ndeath);j++){
               k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 /* printf(" k=%d l=%d i=%d j=%d\n",k,l,i,j);fflush(stdout); */
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
         free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
         free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
         free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
         free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
         
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nunset parametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;first2=2;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     if ((lc2 <0) || (lc1 <0) ){
                       if(first2==1){
                         first1=0;
                       printf("Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS. See log file for details...\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);
                       }
                       fprintf(ficlog,"Strange: j1=%d One eigen value of 2x2 matrix of covariance is negative, lc1=%11.3e, lc2=%11.3e, v1=%11.3e, v2=%11.3e, cv12=%11.3e.\n It means that the matrix was not well estimated (varpij), for i=%2d, j=%2d, age=%4d .\n See files %s and %s. Probably WRONG RESULTS.\n", j1, lc1, lc2, v1, v2, cv12, i, j, (int)age,fileresprobcov, fileresprobcor);fflush(ficlog);
                       /* lc1=fabs(lc1); */ /* If we want to have them positive */
                       /* lc2=fabs(lc2); */
                     }
   
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\n# Ellipsoids of confidence\n#\n");
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter svg size 640, 480");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.svg\">\
   %s%d%1d%1d-%1d%1d.svg</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.svg\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.svg\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out;\nset out \"%s%d%1d%1d-%1d%1d.svg\";replot;set out;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
         /* } */ /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_matrix(doldm,1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     free_matrix(dnewm,1,(nlstate)*(nlstate+ndeath),1,npar);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
   
      fprintf(fichtm,"<ul><li><a href='#firstorder'>Result files (first order: no variance)</a>\n \
      <li><a href='#secondorder'>Result files (second order (variance)</a>\n \
   </ul>");
      fprintf(fichtm,"<ul><li><h4><a name='firstorder'>Result files (first order: no variance)</a></h4>\n \
    - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n ",
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"));
      fprintf(fichtm,"\
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n ",
              stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"));
      fprintf(fichtm,"\
    - Period (stable) prevalence in each health state: <a href=\"%s\">%s</a> <br>\n",
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"));
      fprintf(fichtm,"\
    - (a) Life expectancies by health status at initial age, ei. (b) health expectancies by health status at initial age, eij . If one or more covariates are included, specific tables for each value of the covariate are output in sequences within the same file (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n",
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
      fprintf(fichtm,"\
    - Population projections by age and states: \
      <a href=\"%s\">%s</a> <br>\n</li>", subdirf2(fileres,"f"),subdirf2(fileres,"f"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++){ 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
            printf(" V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);fflush(stdout);
          }
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: <a href=\"%s%d_1.svg\">%s%d_1.svg</a><br> \
   <img src=\"%s%d_1.svg\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: <a href=\"%s%d_2.svg\">%s%d_2.svg</a><br> \
   <img src=\"%s%d_2.svg\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Period (stable) prevalence in each health state */
          for(cpt=1; cpt<=nlstate;cpt++){
            fprintf(fichtm,"<br>- Convergence to period (stable) prevalence in state %d. Or probability to be in state %d being in state (1 to %d) at different ages. <a href=\"%s%d_%d.svg\">%s%d_%d.svg</a><br> \
   <img src=\"%s%d_%d.svg\">", cpt, cpt, nlstate, subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Life expectancy by health state (%d) at initial age and its decomposition into health expectancies in each alive state (1 to %d) : <a href=\"%s%d%d.svg\">%s%d%d.svg</a> <br> \
   <img src=\"%s%d%d.svg\">",cpt,nlstate,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
      /* } /\* end i1 *\/ */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
    fprintf(fichtm,"\
   \n<br><li><h4> <a name='secondorder'>Result files (second order: variances)</a></h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br> \
    - 95%% confidence intervals and Wald tests of the estimated parameters are in the log file.<br> \
   But because parameters are usually highly correlated (a higher incidence of disability \
   and a higher incidence of recovery can give very close observed transition) it might \
   be very useful to look not only at linear confidence intervals estimated from the \
   variances but at the covariance matrix. And instead of looking at the estimated coefficients \
   (parameters) of the logistic regression, it might be more meaningful to visualize the \
   covariance matrix of the one-step probabilities. \
   See page 'Matrix of variance-covariance of one-step probabilities' below. \n", rfileres,rfileres);
   
    fprintf(fichtm," - Standard deviation of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"));
    fprintf(fichtm,"\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"));
   
    fprintf(fichtm,"\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n",
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age and <b>initial health status</b> (cov(e<sup>ij</sup>,e<sup>kl</sup>)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"cve"),subdirf2(fileres,"cve"));
    fprintf(fichtm,"\
    - (a) Health expectancies by health status at initial age (e<sup>ij</sup>) and standard errors (in parentheses) (b) life expectancies and standard errors (e<sup>i.</sup>=e<sup>i1</sup>+e<sup>i2</sup>+...)(estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>",
              estepm,subdirf2(fileres,"stde"),subdirf2(fileres,"stde"));
    fprintf(fichtm,"\
    - Variances and covariances of health expectancies by age. Status (i) based health expectancies (in state j), e<sup>ij</sup> are weighted by the period prevalences in each state i (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a><br>\n",
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"));
    fprintf(fichtm,"\
    - Total life expectancy and total health expectancies to be spent in each health state e<sup>.j</sup> with their standard errors (if popbased=1, an additional computation is done using the cross-sectional prevalences, i.e population based) (estepm=%d months): <a href=\"%s\">%s</a> <br>\n",
            estepm, subdirf2(fileres,"t"),subdirf2(fileres,"t"));
    fprintf(fichtm,"\
    - Standard deviation of period (stable) prevalences: <a href=\"%s\">%s</a> <br>\n",\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
    fflush(fichtm);
    fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=pow(2,cptcoveff);
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      /* for(i1=1; i1<=ncodemax[k1];i1++){ */
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtabm(jj1,cpt)]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed (cross-sectional) and period (incidence based) \
   prevalence (with 95%% confidence interval) in state (%d): %s%d_%d.svg <br>\
   <img src=\"%s%d_%d.svg\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2). If popbased=1 the smooth (due to the model) \
   true period expectancies (those weighted with period prevalences are also\
    drawn in addition to the population based expectancies computed using\
    observed and cahotic prevalences: %s%d.svg<br>\
   <img src=\"%s%d.svg\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      /* } /\* end i1 *\/ */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int cpt=0,k1=0,i=0,k=0,j=0,jk=0,k2=0,k3=0,ij=0,l=0;
     int ng=0;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     fprintf(ficgp,"\n# 1st: Period (stable) prevalence with CI: 'vpl' files\n");
     for (cpt=1; cpt<= nlstate ; cpt ++) {
       for (k1=1; k1<= m ; k1 ++) { /* plot [100000000000000000000:-100000000000000000000] "mysbiaspar/vplrmysbiaspar.txt to check */
        fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
        fprintf(ficgp,"\n#set out \"v%s%d_%d.svg\" \n",optionfilefiname,cpt,k1);
        fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n\
   set ter svg size 640, 480\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else        fprintf(ficgp," %%*lf (%%*lf)");
        }
        fprintf(ficgp,"\" t\"Period (stable) prevalence\" w l lt 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else fprintf(ficgp," %%*lf (%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95%% CI\" w l lt 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," %%lf (%%lf)");
          else fprintf(ficgp," %%*lf (%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l lt 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l lt 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     fprintf(ficgp,"\n# 2nd: Total life expectancy with CI: 't' files\n");
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.svg\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter svg size 640, 480\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l lt 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," %%lf (%%lf)");
           else fprintf(ficgp," %%*lf (%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l lt 0");
         else fprintf(ficgp,"\" t\"\" w l lt 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         /*       k=2+nlstate*(2*cpt-2); */
         k=2+(nlstate+1)*(cpt-1);
         fprintf(ficgp,"\nset out \"%s%d%d.svg\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
         fprintf(ficgp,"set ter svg size 640, 480\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+i,cpt,i+1);
           /*      fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);*/
           
         } 
         fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d.\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+nlstate,cpt);
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { /* For each multivariate if any */
       for (cpt=1; cpt<=nlstate ; cpt ++) { /* For each life state */
         k=3;
         fprintf(ficgp,"\n#\n#\n#CV preval stable (period): 'pij' files, cov=%d state=%d",k1, cpt);
         fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter svg size 640, 480\n\
   unset log y\n\
   plot [%.f:%.f]  ", ageminpar, agemaxpar);
         for (i=1; i<= nlstate ; i ++){
           if(i==1)
             fprintf(ficgp,"\"%s\"",subdirf2(fileres,"pij"));
           else
             fprintf(ficgp,", '' ");
           l=(nlstate+ndeath)*(i-1)+1;
           fprintf(ficgp," u ($1==%d ? ($3):1/0):($%d/($%d",k1,k+l+(cpt-1),k+l);
           for (j=1; j<= (nlstate-1) ; j ++)
             fprintf(ficgp,"+$%d",k+l+j);
           fprintf(ficgp,")) t \"prev(%d,%d)\" w l",i,cpt);
         } /* nlstate */
         fprintf(ficgp,"\n");
       } /* end cpt state*/ 
     } /* end covariate */  
     
     /* proba elementaires */
     fprintf(ficgp,"\n##############\n#MLE estimated parameters\n#############\n");
     for(i=1,jk=1; i <=nlstate; i++){
       fprintf(ficgp,"# initial state %d\n",i);
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           fprintf(ficgp,"#   current state %d\n",k);
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f; ",jk,p[jk]);
             jk++; 
           }
           fprintf(ficgp,"\n");
         }
       }
      }
     fprintf(ficgp,"##############\n#\n");
   
     /*goto avoid;*/
     fprintf(ficgp,"\n##############\n#Graphics of probabilities or incidences\n#############\n");
     fprintf(ficgp,"# logi(p12/p11)=a12+b12*age+c12age*age+d12*V1+e12*V1*age\n");
     fprintf(ficgp,"# logi(p12/p11)=p1 +p2*age +p3*age*age+ p4*V1+ p5*V1*age\n");
     fprintf(ficgp,"# logi(p13/p11)=a13+b13*age+c13age*age+d13*V1+e13*V1*age\n");
     fprintf(ficgp,"# logi(p13/p11)=p6 +p7*age +p8*age*age+ p9*V1+ p10*V1*age\n");
     fprintf(ficgp,"# p12+p13+p14+p11=1=p11(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
     fprintf(ficgp,"# p11=1/(1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#                      +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age)+...)\n");
     fprintf(ficgp,"# p12=exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)/\n");
     fprintf(ficgp,"#     (1+exp(a12+b12*age+c12age*age+d12*V1+e12*V1*age)\n");
     fprintf(ficgp,"#       +exp(a13+b13*age+c13age*age+d13*V1+e13*V1*age))\n");
     fprintf(ficgp,"#       +exp(a14+b14*age+c14age*age+d14*V1+e14*V1*age)+...)\n");
     fprintf(ficgp,"#\n");
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
        fprintf(ficgp,"# ng=%d\n",ng);
        fprintf(ficgp,"#   jk=1 to 2^%d=%d\n",cptcoveff,m);
        for(jk=1; jk <=m; jk++) {
          fprintf(ficgp,"#    jk=%d\n",jk);
          fprintf(ficgp,"\nset out \"%s%d_%d.svg\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nunset title \n");
          fprintf(ficgp,"\nset ter svg size 640, 480\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  if(nagesqr==0)
                    fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                  else /* nagesqr =1 */
                    fprintf(ficgp," %f*exp(p%d+p%d*x+p%d*x*x",YEARM/stepm,i,i+1,i+1+nagesqr);
                else
                  if(nagesqr==0)
                    fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                  else /* nagesqr =1 */
                    fprintf(ficgp," exp(p%d+p%d*x+p%d*x*x",i,i+1,i+1+nagesqr);
                ij=1;/* To be checked else nbcode[0][0] wrong */
                for(j=3; j <=ncovmodel-nagesqr; j++) {
                  /* printf("Tage[%d]=%d, j=%d\n", ij, Tage[ij], j); */
                  if(ij <=cptcovage) { /* Bug valgrind */
                    if((j-2)==Tage[ij]) { /* Bug valgrind */
                      fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                      /* fprintf(ficgp,"+p%d*%d*x",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                      ij++;
                    }
                  }
                  else
                    fprintf(ficgp,"+p%d*%d",i+j+nagesqr-1,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                }
                fprintf(ficgp,")/(1");
                
                for(k1=1; k1 <=nlstate; k1++){ 
                  if(nagesqr==0)
                    fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                  else /* nagesqr =1 */
                    fprintf(ficgp,"+exp(p%d+p%d*x+p%d*x*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1,k3+(k1-1)*ncovmodel+1+nagesqr);
     
                  ij=1;
                  for(j=3; j <=ncovmodel-nagesqr; j++){
                    if(ij <=cptcovage) { /* Bug valgrind */
                      if((j-2)==Tage[ij]) { /* Bug valgrind */
                        fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                        /* fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,Tvar[j-2])]); */
                        ij++;
                      }
                    }
                    else
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2+nagesqr,nbcode[Tvar[j-2]][codtabm(jk,j-2)]);
                  }
                  fprintf(ficgp,")");
                }
                fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
    /* avoid: */
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   void prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
     /* proj1, year, month, day of starting projection 
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anproj2 year of en of projection (same day and month as proj1).
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, cptcod, i, h, i1;
     double agec; /* generic age */
     double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
    
     strcpy(fileresf,"f"); 
     strcat(fileresf,fileres);
     if((ficresf=fopen(fileresf,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", fileresf);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
     }
     printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
   
     hstepm=hstepm/stepm; 
     yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                                  fractional in yp1 */
     anprojmean=yp;
     yp2=modf((yp1*12),&yp);
     mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
     jprojmean=yp;
     if(jprojmean==0) jprojmean=1;
     if(mprojmean==0) jprojmean=1;
   
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
                 fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 ppij=0.;
                 for(i=1; i<=nlstate;i++) {
                   if (mobilav==1) 
                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   else {
                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   }
                   if (h*hstepm/YEARM*stepm== yearp) {
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   }
                 } /* end i */
                 if (h*hstepm/YEARM*stepm==yearp) {
                   fprintf(ficresf," %.3f", ppij);
                 }
               }/* end j */
             } /* end h */
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   void populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         }
         fprintf(ficrespop,"******\n");
         fprintf(ficrespop,"# Age");
         for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
         if (popforecast==1)  fprintf(ficrespop," [Population]");
         
         for (cpt=0; cpt<=0;cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   if (mobilav==1) 
                     kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   else {
                     kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
                 }
                 if (h==(int)(calagedatem+12*cpt)){
                   tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
                       if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                 }
               }
               for(i=1; i<=nlstate;i++){
                 kk1=0.;
                   for(j=1; j<=nlstate;j++){
                     kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   }
                     tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
               }
   
               if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                 fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
    
     /******/
   
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                 }
                 if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
      } 
     }
    
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     if (popforecast==1) {
       free_ivector(popage,0,AGESUP);
       free_vector(popeffectif,0,AGESUP);
       free_vector(popcount,0,AGESUP);
     }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   } /* End of popforecast */
   
   int fileappend(FILE *fichier, char *optionfich)
   {
     if((fichier=fopen(optionfich,"a"))==NULL) {
       printf("Problem with file: %s\n", optionfich);
       fprintf(ficlog,"Problem with file: %s\n", optionfich);
       return (0);
     }
     fflush(fichier);
     return (1);
   }
   
   
   /**************** function prwizard **********************/
   void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
   {
   
     /* Wizard to print covariance matrix template */
   
     char ca[32], cb[32];
     int i,j, k, li, lj, lk, ll, jj, npar, itimes;
     int numlinepar;
   
     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         /*ca[0]= k+'a'-1;ca[1]='\0';*/
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%1d%1d",i,j);
         for(k=1; k<=ncovmodel;k++){
           /*        printf(" %lf",param[i][j][k]); */
           /*        fprintf(ficparo," %lf",param[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         fprintf(ficparo,"%1d%1d",i,j);
         printf("%1d%1d",i,j);
         fflush(stdout);
         for(k=1; k<=ncovmodel;k++){
           /*      printf(" %le",delti3[i][j][k]); */
           /*      fprintf(ficparo," %le",delti3[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         numlinepar++;
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Covariance matrix\n");
   /* # 121 Var(a12)\n\ */
   /* # 122 Cov(b12,a12) Var(b12)\n\ */
   /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
   /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
   /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
   /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
   /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
   /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
     fflush(stdout);
     fprintf(ficparo,"# Covariance matrix\n");
     /* # 121 Var(a12)\n\ */
     /* # 122 Cov(b12,a12) Var(b12)\n\ */
     /* #   ...\n\ */
     /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
     
     for(itimes=1;itimes<=2;itimes++){
       jj=0;
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if(j==i) continue;
           for(k=1; k<=ncovmodel;k++){
             jj++;
             ca[0]= k+'a'-1;ca[1]='\0';
             if(itimes==1){
               printf("#%1d%1d%d",i,j,k);
               fprintf(ficparo,"#%1d%1d%d",i,j,k);
             }else{
               printf("%1d%1d%d",i,j,k);
               fprintf(ficparo,"%1d%1d%d",i,j,k);
               /*  printf(" %.5le",matcov[i][j]); */
             }
             ll=0;
             for(li=1;li <=nlstate; li++){
               for(lj=1;lj <=nlstate+ndeath; lj++){
                 if(lj==li) continue;
                 for(lk=1;lk<=ncovmodel;lk++){
                   ll++;
                   if(ll<=jj){
                     cb[0]= lk +'a'-1;cb[1]='\0';
                     if(ll<jj){
                       if(itimes==1){
                         printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }else{
                       if(itimes==1){
                         printf(" Var(%s%1d%1d)",ca,i,j);
                         fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }
                   }
                 } /* end lk */
               } /* end lj */
             } /* end li */
             printf("\n");
             fprintf(ficparo,"\n");
             numlinepar++;
           } /* end k*/
         } /*end j */
       } /* end i */
     } /* end itimes */
   
   } /* end of prwizard */
   /******************* Gompertz Likelihood ******************************/
   double gompertz(double x[])
   { 
     double A,B,L=0.0,sump=0.,num=0.;
     int i,n=0; /* n is the size of the sample */
   
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
   
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agecens[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[1]/(x[2])*(exp(x[2]*(agedc[i]-agegomp))-exp(x[2]*(ageexmed[i]-agegomp)))
                +log(x[1]/YEARM)+x[2]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           L=L+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
    
     return -2*L*num/sump;
   }
   
   #ifdef GSL
   /******************* Gompertz_f Likelihood ******************************/
   double gompertz_f(const gsl_vector *v, void *params)
   { 
     double A,B,LL=0.0,sump=0.,num=0.;
     double *x= (double *) v->data;
     int i,n=0; /* n is the size of the sample */
   
     for (i=0;i<=imx-1 ; i++) {
       sump=sump+weight[i];
       /*    sump=sump+1;*/
       num=num+1;
     }
    
    
     /* for (i=0; i<=imx; i++) 
        if (wav[i]>0) printf("i=%d ageex=%lf agecens=%lf agedc=%lf cens=%d %d\n" ,i,ageexmed[i],agecens[i],agedc[i],cens[i],wav[i]);*/
     printf("x[0]=%lf x[1]=%lf\n",x[0],x[1]);
     for (i=1;i<=imx ; i++)
       {
         if (cens[i] == 1 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agecens[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)));
         
         if (cens[i] == 0 && wav[i]>1)
           A=-x[0]/(x[1])*(exp(x[1]*(agedc[i]-agegomp))-exp(x[1]*(ageexmed[i]-agegomp)))
                +log(x[0]/YEARM)+x[1]*(agedc[i]-agegomp)+log(YEARM);  
         
         /*if (wav[i] > 1 && agecens[i] > 15) {*/ /* ??? */
         if (wav[i] > 1 ) { /* ??? */
           LL=LL+A*weight[i];
           /*      printf("\ni=%d A=%f L=%lf x[1]=%lf x[2]=%lf ageex=%lf agecens=%lf cens=%d agedc=%lf weight=%lf\n",i,A,L,x[1],x[2],ageexmed[i]*12,agecens[i]*12,cens[i],agedc[i]*12,weight[i]);*/
         }
       }
   
    /*printf("x1=%2.9f x2=%2.9f x3=%2.9f L=%f\n",x[1],x[2],x[3],L);*/
     printf("x[0]=%lf x[1]=%lf -2*LL*num/sump=%lf\n",x[0],x[1],-2*LL*num/sump);
    
     return -2*LL*num/sump;
   }
   #endif
   
   /******************* Printing html file ***********/
   void printinghtmlmort(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,  double p[],double **matcov,double agemortsup){
     int i,k;
   
     fprintf(fichtm,"<ul><li><h4>Result files </h4>\n Force of mortality. Parameters of the Gompertz fit (with confidence interval in brackets):<br>");
     fprintf(fichtm,"  mu(age) =%lf*exp(%lf*(age-%d)) per year<br><br>",p[1],p[2],agegomp);
     for (i=1;i<=2;i++) 
       fprintf(fichtm," p[%d] = %lf [%f ; %f]<br>\n",i,p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
     fprintf(fichtm,"<br><br><img src=\"graphmort.svg\">");
     fprintf(fichtm,"</ul>");
   
   fprintf(fichtm,"<ul><li><h4>Life table</h4>\n <br>");
   
    fprintf(fichtm,"\nAge   l<inf>x</inf>     q<inf>x</inf> d(x,x+1)    L<inf>x</inf>     T<inf>x</inf>     e<infx</inf><br>");
   
    for (k=agegomp;k<(agemortsup-2);k++) 
      fprintf(fichtm,"%d %.0lf %lf %.0lf %.0lf %.0lf %lf<br>\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
   
    
     fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplotmort(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
   
     int ng;
   
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
   
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
     fprintf(ficgp,"set out \"graphmort.svg\"\n "); 
     fprintf(ficgp,"set xlabel \"Age\"\n set ylabel \"Force of mortality (per year)\" \n "); 
     fprintf(ficgp, "set ter svg size 640, 480\n set log y\n"); 
     /* fprintf(ficgp, "set size 0.65,0.65\n"); */
     fprintf(ficgp,"plot [%d:100] %lf*exp(%lf*(x-%d))",agegomp,p[1],p[2],agegomp);
   
   } 
   
   int readdata(char datafile[], int firstobs, int lastobs, int *imax)
   {
   
     /*-------- data file ----------*/
     FILE *fic;
     char dummy[]="                         ";
     int i=0, j=0, n=0;
     int linei, month, year,iout;
     char line[MAXLINE], linetmp[MAXLINE];
     char stra[MAXLINE], strb[MAXLINE];
     char *stratrunc;
     int lstra;
   
   
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem while opening datafile: %s\n", datafile);fflush(stdout);
       fprintf(ficlog,"Problem while opening datafile: %s\n", datafile);fflush(ficlog);return 1;
     }
   
     i=1;
     linei=0;
     while ((fgets(line, MAXLINE, fic) != NULL) &&((i >= firstobs) && (i <=lastobs))) {
       linei=linei+1;
       for(j=strlen(line); j>=0;j--){  /* Untabifies line */
         if(line[j] == '\t')
           line[j] = ' ';
       }
       for(j=strlen(line)-1; (line[j]==' ')||(line[j]==10)||(line[j]==13);j--){
         ;
       };
       line[j+1]=0;  /* Trims blanks at end of line */
       if(line[0]=='#'){
         fprintf(ficlog,"Comment line\n%s\n",line);
         printf("Comment line\n%s\n",line);
         continue;
       }
       trimbb(linetmp,line); /* Trims multiple blanks in line */
       strcpy(line, linetmp);
     
   
       for (j=maxwav;j>=1;j--){
         cutv(stra, strb, line, ' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
         /*        if (errno == ERANGE && (lval == LONG_MAX || lval == LONG_MIN))*/
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);
             fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a status of wave %d. Setting maxwav=%d might be wrong.  Exiting.\n", strb, linei,i,line,j,maxwav);fflush(ficlog);
             return 1;
           }
         }
         s[j][i]=lval;
         
         strcpy(line,stra);
         cutv(stra, strb,line,' ');
         if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
         }
         else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
           month=99;
           year=9999;
         }else{
           printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of interview (mm/yyyy or .) at wave %d.  Exiting.\n",strb, linei,i, line,j);fflush(ficlog);
           return 1;
         }
         anint[j][i]= (double) year; 
         mint[j][i]= (double)month; 
         strcpy(line,stra);
       } /* ENd Waves */
       
       cutv(stra, strb,line,' '); 
       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
       }
       else  if( (iout=sscanf(strb,"%s.",dummy)) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
           fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of death (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       andc[i]=(double) year; 
       moisdc[i]=(double) month; 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       if( (iout=sscanf(strb,"%d/%d",&month, &year)) != 0){
       }
       else  if( (iout=sscanf(strb,"%s.", dummy)) != 0){
         month=99;
         year=9999;
       }else{
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy or .).  Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
       }
       if (year==9999) {
         printf("Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given.  Exiting.\n",strb, linei,i,line);
         fprintf(ficlog,"Error reading data around '%s' at line number %d for individual %d, '%s'\nShould be a date of birth (mm/yyyy) but at least the year of birth should be given. Exiting.\n",strb, linei,i,line);fflush(ficlog);
           return 1;
   
       }
       annais[i]=(double)(year);
       moisnais[i]=(double)(month); 
       strcpy(line,stra);
       
       cutv(stra, strb,line,' '); 
       errno=0;
       dval=strtod(strb,&endptr); 
       if( strb[0]=='\0' || (*endptr != '\0')){
         printf("Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fprintf(ficlog,"Error reading data around '%f' at line number %d, \"%s\" for individual %d\nShould be a weight.  Exiting.\n",dval, i,line,linei);
         fflush(ficlog);
         return 1;
       }
       weight[i]=dval; 
       strcpy(line,stra);
       
       for (j=ncovcol;j>=1;j--){
         cutv(stra, strb,line,' '); 
         if(strb[0]=='.') { /* Missing status */
           lval=-1;
         }else{
           errno=0;
           lval=strtol(strb,&endptr,10); 
           if( strb[0]=='\0' || (*endptr != '\0')){
             printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);
             fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\nShould be a covariate value (=0 for the reference or 1 for alternative).  Exiting.\n",lval, linei,i, line);fflush(ficlog);
             return 1;
           }
         }
         if(lval <-1 || lval >1){
           printf("Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);
           fprintf(ficlog,"Error reading data around '%ld' at line number %d for individual %d, '%s'\n \
    Should be a value of %d(nth) covariate (0 should be the value for the reference and 1\n \
    for the alternative. IMaCh does not build design variables automatically, do it yourself.\n \
    For example, for multinomial values like 1, 2 and 3,\n \
    build V1=0 V2=0 for the reference value (1),\n \
           V1=1 V2=0 for (2) \n \
    and V1=0 V2=1 for (3). V1=1 V2=1 should not exist and the corresponding\n \
    output of IMaCh is often meaningless.\n \
    Exiting.\n",lval,linei, i,line,j);fflush(ficlog);
           return 1;
         }
         covar[j][i]=(double)(lval);
         strcpy(line,stra);
       }  
       lstra=strlen(stra);
        
       if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
         stratrunc = &(stra[lstra-9]);
         num[i]=atol(stratrunc);
       }
       else
         num[i]=atol(stra);
       /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
         printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
       
       i=i+1;
     } /* End loop reading  data */
   
     *imax=i-1; /* Number of individuals */
     fclose(fic);
    
     return (0);
     /* endread: */
       printf("Exiting readdata: ");
       fclose(fic);
       return (1);
   
   
   
   }
   void removespace(char *str) {
     char *p1 = str, *p2 = str;
     do
       while (*p2 == ' ')
         p2++;
     while (*p1++ == *p2++);
   }
   
   int decodemodel ( char model[], int lastobs) /**< This routine decode the model and returns:
      * Model  V1+V2+V3+V8+V7*V8+V5*V6+V8*age+V3*age+age*age
      * - nagesqr = 1 if age*age in the model, otherwise 0.
      * - cptcovt total number of covariates of the model nbocc(+)+1 = 8 excepting constant and age and age*age
      * - cptcovn or number of covariates k of the models excluding age*products =6 and age*age
      * - cptcovage number of covariates with age*products =2
      * - cptcovs number of simple covariates
      * - Tvar[k] is the id of the kth covariate Tvar[1]@12 {1, 2, 3, 8, 10, 11, 8, 3, 7, 8, 5, 6}, thus Tvar[5=V7*V8]=10
      *     which is a new column after the 9 (ncovcol) variables. 
      * - if k is a product Vn*Vm covar[k][i] is filled with correct values for each individual
      * - Tprod[l] gives the kth covariates of the product Vn*Vm l=1 to cptcovprod-cptcovage
      *    Tprod[1]@2 {5, 6}: position of first product V7*V8 is 5, and second V5*V6 is 6.
      * - Tvard[k]  p Tvard[1][1]@4 {7, 8, 5, 6} for V7*V8 and V5*V6 .
    */
   {
     int i, j, k, ks;
     int  j1, k1, k2;
     char modelsav[80];
     char stra[80], strb[80], strc[80], strd[80],stre[80];
     char *strpt;
   
     /*removespace(model);*/
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=0, k2=-1, ks=0, cptcovn=0;
       if (strstr(model,"AGE") !=0){
         printf("Error. AGE must be in lower case 'age' model=1+age+%s. ",model);
         fprintf(ficlog,"Error. AGE must be in lower case model=1+age+%s. ",model);fflush(ficlog);
         return 1;
       }
       if (strstr(model,"v") !=0){
         printf("Error. 'v' must be in upper case 'V' model=%s ",model);
         fprintf(ficlog,"Error. 'v' must be in upper case model=%s ",model);fflush(ficlog);
         return 1;
       }
       strcpy(modelsav,model); 
       if ((strpt=strstr(model,"age*age")) !=0){
         printf(" strpt=%s, model=%s\n",strpt, model);
         if(strpt != model){
         printf("Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
    'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
    corresponding column of parameters.\n",model);
         fprintf(ficlog,"Error in model: 'model=%s'; 'age*age' should in first place before other covariates\n \
    'model=1+age+age*age+V1.' or 'model=1+age+age*age+V1+V1*age.', please swap as well as \n \
    corresponding column of parameters.\n",model); fflush(ficlog);
         return 1;
       }
   
         nagesqr=1;
         if (strstr(model,"+age*age") !=0)
           substrchaine(modelsav, model, "+age*age");
         else if (strstr(model,"age*age+") !=0)
           substrchaine(modelsav, model, "age*age+");
         else 
           substrchaine(modelsav, model, "age*age");
       }else
         nagesqr=0;
       if (strlen(modelsav) >1){
         j=nbocc(modelsav,'+'); /**< j=Number of '+' */
         j1=nbocc(modelsav,'*'); /**< j1=Number of '*' */
         cptcovs=j+1-j1; /**<  Number of simple covariates V1+V1*age+V3 +V3*V4+age*age=> V1 + V3 =2  */
         cptcovt= j+1; /* Number of total covariates in the model, not including
                      * cst, age and age*age 
                      * V1+V1*age+ V3 + V3*V4+age*age=> 4*/
                     /* including age products which are counted in cptcovage.
                     * but the covariates which are products must be treated 
                     * separately: ncovn=4- 2=2 (V1+V3). */
         cptcovprod=j1; /**< Number of products  V1*V2 +v3*age = 2 */
         cptcovprodnoage=0; /**< Number of covariate products without age: V3*V4 =1  */
   
       
         /*   Design
          *  V1   V2   V3   V4  V5  V6  V7  V8  V9 Weight
          *  <          ncovcol=8                >
          * Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8
          *   k=  1    2      3       4     5       6      7        8
          *  cptcovn number of covariates (not including constant and age ) = # of + plus 1 = 7+1=8
          *  covar[k,i], value of kth covariate if not including age for individual i:
          *       covar[1][i]= (V2), covar[4][i]=(V3), covar[8][i]=(V8)
          *  Tvar[k] # of the kth covariate:  Tvar[1]=2  Tvar[4]=3 Tvar[8]=8
          *       if multiplied by age: V3*age Tvar[3=V3*age]=3 (V3) Tvar[7]=8 and 
          *  Tage[++cptcovage]=k
          *       if products, new covar are created after ncovcol with k1
          *  Tvar[k]=ncovcol+k1; # of the kth covariate product:  Tvar[5]=ncovcol+1=10  Tvar[6]=ncovcol+1=11
          *  Tprod[k1]=k; Tprod[1]=5 Tprod[2]= 6; gives the position of the k1th product
          *  Tvard[k1][1]=m Tvard[k1][2]=m; Tvard[1][1]=5 (V5) Tvard[1][2]=6 Tvard[2][1]=7 (V7) Tvard[2][2]=8
          *  Tvar[cptcovn+k2]=Tvard[k1][1];Tvar[cptcovn+k2+1]=Tvard[k1][2];
          *  Tvar[8+1]=5;Tvar[8+2]=6;Tvar[8+3]=7;Tvar[8+4]=8 inverted
          *  V1   V2   V3   V4  V5  V6  V7  V8  V9  V10  V11
          *  <          ncovcol=8                >
          *       Model V2 + V1 + V3*age + V3 + V5*V6 + V7*V8 + V8*age + V8    d1   d1   d2  d2
          *          k=  1    2      3       4     5       6      7        8    9   10   11  12
          *     Tvar[k]= 2    1      3       3    10      11      8        8    5    6    7   8
          * p Tvar[1]@12={2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
          * p Tprod[1]@2={                         6, 5}
          *p Tvard[1][1]@4= {7, 8, 5, 6}
          * covar[k][i]= V2   V1      ?      V3    V5*V6?   V7*V8?  ?       V8   
          *  cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
          *How to reorganize?
          * Model V1 + V2 + V3 + V8 + V5*V6 + V7*V8 + V3*age + V8*age
          * Tvars {2,   1,     3,      3,   11,     10,     8,       8,   7,   8,   5,  6}
          *       {2,   1,     4,      8,    5,      6,     3,       7}
          * Struct []
          */
   
         /* This loop fills the array Tvar from the string 'model'.*/
         /* j is the number of + signs in the model V1+V2+V3 j=2 i=3 to 1 */
         /*   modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4  */
         /*        k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tage[cptcovage=1]=4 */
         /*        k=3 V4 Tvar[k=3]= 4 (from V4) */
         /*        k=2 V1 Tvar[k=2]= 1 (from V1) */
         /*        k=1 Tvar[1]=2 (from V2) */
         /*        k=5 Tvar[5] */
         /* for (k=1; k<=cptcovn;k++) { */
         /*        cov[2+k]=nbcode[Tvar[k]][codtabm(ij,Tvar[k])]; */
         /*        } */
         /* for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=nbcode[Tvar[Tage[k]]][codtabm(ij,Tvar[Tage[k])]]*cov[2]; */
         /*
          * Treating invertedly V2+V1+V3*age+V2*V4 is as if written V2*V4 +V3*age + V1 + V2 */
         for(k=cptcovt; k>=1;k--) /**< Number of covariates */
           Tvar[k]=0;
         cptcovage=0;
         for(k=1; k<=cptcovt;k++){ /* Loop on total covariates of the model */
           cutl(stra,strb,modelsav,'+'); /* keeps in strb after the first '+' 
                                            modelsav==V2+V1+V4+V3*age strb=V3*age stra=V2+V1+V4 */ 
           if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
           /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
           /*scanf("%d",i);*/
           if (strchr(strb,'*')) {  /**< Model includes a product V2+V1+V4+V3*age strb=V3*age */
             cutl(strc,strd,strb,'*'); /**< strd*strc  Vm*Vn: strb=V3*age(input) strc=age strd=V3 ; V3*V2 strc=V2, strd=V3 */
             if (strcmp(strc,"age")==0) { /**< Model includes age: Vn*age */
               /* covar is not filled and then is empty */
               cptcovprod--;
               cutl(stre,strb,strd,'V'); /* strd=V3(input): stre="3" */
               Tvar[k]=atoi(stre);  /* V2+V1+V4+V3*age Tvar[4]=3 ; V1+V2*age Tvar[2]=2; V1+V1*age Tvar[2]=1 */
               cptcovage++; /* Sums the number of covariates which include age as a product */
               Tage[cptcovage]=k;  /* Tvar[4]=3, Tage[1] = 4 or V1+V1*age Tvar[2]=1, Tage[1]=2 */
               /*printf("stre=%s ", stre);*/
             } else if (strcmp(strd,"age")==0) { /* or age*Vn */
               cptcovprod--;
               cutl(stre,strb,strc,'V');
               Tvar[k]=atoi(stre);
               cptcovage++;
               Tage[cptcovage]=k;
             } else {  /* Age is not in the model product V2+V1+V1*V4+V3*age+V3*V2  strb=V3*V2*/
               /* loops on k1=1 (V3*V2) and k1=2 V4*V3 */
               cptcovn++;
               cptcovprodnoage++;k1++;
               cutl(stre,strb,strc,'V'); /* strc= Vn, stre is n; strb=V3*V2 stre=3 strc=*/
               Tvar[k]=ncovcol+k1; /* For model-covariate k tells which data-covariate to use but
                                      because this model-covariate is a construction we invent a new column
                                      ncovcol + k1
                                      If already ncovcol=4 and model=V2+V1+V1*V4+age*V3+V3*V2
                                      Tvar[3=V1*V4]=4+1 Tvar[5=V3*V2]=4 + 2= 6, etc */
               cutl(strc,strb,strd,'V'); /* strd was Vm, strc is m */
               Tprod[k1]=k;  /* Tprod[1]=3(=V1*V4) for V2+V1+V1*V4+age*V3+V3*V2  */
               Tvard[k1][1] =atoi(strc); /* m 1 for V1*/
               Tvard[k1][2] =atoi(stre); /* n 4 for V4*/
               k2=k2+2;
               Tvar[cptcovt+k2]=Tvard[k1][1]; /* Tvar[(cptcovt=4+k2=1)=5]= 1 (V1) */
               Tvar[cptcovt+k2+1]=Tvard[k1][2];  /* Tvar[(cptcovt=4+(k2=1)+1)=6]= 4 (V4) */
               for (i=1; i<=lastobs;i++){
                 /* Computes the new covariate which is a product of
                    covar[n][i]* covar[m][i] and stores it at ncovol+k1 May not be defined */
                 covar[ncovcol+k1][i]=covar[atoi(stre)][i]*covar[atoi(strc)][i];
               }
             } /* End age is not in the model */
           } /* End if model includes a product */
           else { /* no more sum */
             /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
             /*  scanf("%d",i);*/
             cutl(strd,strc,strb,'V');
             ks++; /**< Number of simple covariates */
             cptcovn++;
             Tvar[k]=atoi(strd);
           }
           strcpy(modelsav,stra);  /* modelsav=V2+V1+V4 stra=V2+V1+V4 */ 
           /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
             scanf("%d",i);*/
         } /* end of loop + on total covariates */
       } /* end if strlen(modelsave == 0) age*age might exist */
     } /* end if strlen(model == 0) */
     
     /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
       If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
   
     /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
     printf("cptcovprod=%d ", cptcovprod);
     fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
   
     scanf("%d ",i);*/
   
   
     return (0); /* with covar[new additional covariate if product] and Tage if age */ 
     /*endread:*/
       printf("Exiting decodemodel: ");
       return (1);
   }
   
   int calandcheckages(int imx, int maxwav, double *agemin, double *agemax, int *nberr, int *nbwarn )
   {
     int i, m;
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           *nberr = *nberr + 1;
           printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased (%d)\n",(int)moisdc[i],(int)andc[i],num[i],i, *nberr);
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
           (*nberr)++;
           printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
           fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
           s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
         }
       }
     }
   
     for (i=1; i<=imx; i++)  {
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
       for(m=firstpass; (m<= lastpass); m++){
         if(s[m][i] >0 || s[m][i]==-2 || s[m][i]==-4 || s[m][i]==-5){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0){
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999){
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               }else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
             } /* agedc > 0 */
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] < *agemin){ 
               *agemin=agev[m][i];
               printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], *agemin);
             }
             else if(agev[m][i] >*agemax){
               *agemax=agev[m][i];
               /* printf(" Max anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.2f\n",m,i,anint[m][i], i,annais[i], *agemax);*/
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           (*nberr)++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           return 1;
         }
       }
     }
   
     /*for (i=1; i<=imx; i++){
     for (m=firstpass; (m<lastpass); m++){
        printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
   }
   
   }*/
   
   
     printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax);
     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, *agemin, *agemax); 
   
     return (0);
    /* endread:*/
       printf("Exiting calandcheckages: ");
       return (1);
   }
   
   #if defined(_MSC_VER)
   /*printf("Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   /*fprintf(ficlog, "Visual C++ compiler: %s \n;", _MSC_FULL_VER);*/
   //#include "stdafx.h"
   //#include <stdio.h>
   //#include <tchar.h>
   //#include <windows.h>
   //#include <iostream>
   typedef BOOL(WINAPI *LPFN_ISWOW64PROCESS) (HANDLE, PBOOL);
   
   LPFN_ISWOW64PROCESS fnIsWow64Process;
   
   BOOL IsWow64()
   {
           BOOL bIsWow64 = FALSE;
   
           //typedef BOOL (APIENTRY *LPFN_ISWOW64PROCESS)
           //  (HANDLE, PBOOL);
   
           //LPFN_ISWOW64PROCESS fnIsWow64Process;
   
           HMODULE module = GetModuleHandle(_T("kernel32"));
           const char funcName[] = "IsWow64Process";
           fnIsWow64Process = (LPFN_ISWOW64PROCESS)
                   GetProcAddress(module, funcName);
   
           if (NULL != fnIsWow64Process)
           {
                   if (!fnIsWow64Process(GetCurrentProcess(),
                           &bIsWow64))
                           //throw std::exception("Unknown error");
                           printf("Unknown error\n");
           }
           return bIsWow64 != FALSE;
   }
   #endif
   
   void syscompilerinfo(int logged)
    {
      /* #include "syscompilerinfo.h"*/
      /* command line Intel compiler 32bit windows, XP compatible:*/
      /* /GS /W3 /Gy
         /Zc:wchar_t /Zi /O2 /Fd"Release\vc120.pdb" /D "WIN32" /D "NDEBUG" /D
         "_CONSOLE" /D "_LIB" /D "_USING_V110_SDK71_" /D "_UNICODE" /D
         "UNICODE" /Qipo /Zc:forScope /Gd /Oi /MT /Fa"Release\" /EHsc /nologo
         /Fo"Release\" /Qprof-dir "Release\" /Fp"Release\IMaCh.pch"
      */ 
      /* 64 bits */
      /*
        /GS /W3 /Gy
        /Zc:wchar_t /Zi /O2 /Fd"x64\Release\vc120.pdb" /D "WIN32" /D "NDEBUG"
        /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo /Zc:forScope
        /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Fo"x64\Release\" /Qprof-dir
        "x64\Release\" /Fp"x64\Release\IMaCh.pch" */
      /* Optimization are useless and O3 is slower than O2 */
      /*
        /GS /W3 /Gy /Zc:wchar_t /Zi /O3 /Fd"x64\Release\vc120.pdb" /D "WIN32" 
        /D "NDEBUG" /D "_CONSOLE" /D "_LIB" /D "_UNICODE" /D "UNICODE" /Qipo 
        /Zc:forScope /Oi /MD /Fa"x64\Release\" /EHsc /nologo /Qparallel 
        /Fo"x64\Release\" /Qprof-dir "x64\Release\" /Fp"x64\Release\IMaCh.pch" 
      */
      /* Link is */ /* /OUT:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.exe" /MANIFEST /NXCOMPAT
         /PDB:"visual studio
         2013\Projects\IMaCh\Release\IMaCh.pdb" /DYNAMICBASE
         "kernel32.lib" "user32.lib" "gdi32.lib" "winspool.lib"
         "comdlg32.lib" "advapi32.lib" "shell32.lib" "ole32.lib"
         "oleaut32.lib" "uuid.lib" "odbc32.lib" "odbccp32.lib"
         /MACHINE:X86 /OPT:REF /SAFESEH /INCREMENTAL:NO
         /SUBSYSTEM:CONSOLE",5.01" /MANIFESTUAC:"level='asInvoker'
         uiAccess='false'"
         /ManifestFile:"Release\IMaCh.exe.intermediate.manifest" /OPT:ICF
         /NOLOGO /TLBID:1
      */
   #if defined __INTEL_COMPILER
   #if defined(__GNUC__)
           struct utsname sysInfo;  /* For Intel on Linux and OS/X */
   #endif
   #elif defined(__GNUC__) 
   #ifndef  __APPLE__
   #include <gnu/libc-version.h>  /* Only on gnu */
   #endif
      struct utsname sysInfo;
      int cross = CROSS;
      if (cross){
              printf("Cross-");
              if(logged) fprintf(ficlog, "Cross-");
      }
   #endif
   
   #include <stdint.h>
   
      printf("Compiled with:");if(logged)fprintf(ficlog,"Compiled with:");
   #if defined(__clang__)
      printf(" Clang/LLVM");if(logged)fprintf(ficlog," Clang/LLVM");       /* Clang/LLVM. ---------------------------------------------- */
   #endif
   #if defined(__ICC) || defined(__INTEL_COMPILER)
      printf(" Intel ICC/ICPC");if(logged)fprintf(ficlog," Intel ICC/ICPC");/* Intel ICC/ICPC. ------------------------------------------ */
   #endif
   #if defined(__GNUC__) || defined(__GNUG__)
      printf(" GNU GCC/G++");if(logged)fprintf(ficlog," GNU GCC/G++");/* GNU GCC/G++. --------------------------------------------- */
   #endif
   #if defined(__HP_cc) || defined(__HP_aCC)
      printf(" Hewlett-Packard C/aC++");if(logged)fprintf(fcilog," Hewlett-Packard C/aC++"); /* Hewlett-Packard C/aC++. ---------------------------------- */
   #endif
   #if defined(__IBMC__) || defined(__IBMCPP__)
      printf(" IBM XL C/C++"); if(logged) fprintf(ficlog," IBM XL C/C++");/* IBM XL C/C++. -------------------------------------------- */
   #endif
   #if defined(_MSC_VER)
      printf(" Microsoft Visual Studio");if(logged)fprintf(ficlog," Microsoft Visual Studio");/* Microsoft Visual Studio. --------------------------------- */
   #endif
   #if defined(__PGI)
      printf(" Portland Group PGCC/PGCPP");if(logged) fprintf(ficlog," Portland Group PGCC/PGCPP");/* Portland Group PGCC/PGCPP. ------------------------------- */
   #endif
   #if defined(__SUNPRO_C) || defined(__SUNPRO_CC)
      printf(" Oracle Solaris Studio");if(logged)fprintf(ficlog," Oracle Solaris Studio\n");/* Oracle Solaris Studio. ----------------------------------- */
   #endif
      printf(" for "); if (logged) fprintf(ficlog, " for ");
      
   // http://stackoverflow.com/questions/4605842/how-to-identify-platform-compiler-from-preprocessor-macros
   #ifdef _WIN32 // note the underscore: without it, it's not msdn official!
       // Windows (x64 and x86)
      printf("Windows (x64 and x86) ");if(logged) fprintf(ficlog,"Windows (x64 and x86) ");
   #elif __unix__ // all unices, not all compilers
       // Unix
      printf("Unix ");if(logged) fprintf(ficlog,"Unix ");
   #elif __linux__
       // linux
      printf("linux ");if(logged) fprintf(ficlog,"linux ");
   #elif __APPLE__
       // Mac OS, not sure if this is covered by __posix__ and/or __unix__ though..
      printf("Mac OS ");if(logged) fprintf(ficlog,"Mac OS ");
   #endif
   
   /*  __MINGW32__   */
   /*  __CYGWIN__   */
   /* __MINGW64__  */
   // http://msdn.microsoft.com/en-us/library/b0084kay.aspx
   /* _MSC_VER  //the Visual C++ compiler is 17.00.51106.1, the _MSC_VER macro evaluates to 1700. Type cl /?  */
   /* _MSC_FULL_VER //the Visual C++ compiler is 15.00.20706.01, the _MSC_FULL_VER macro evaluates to 150020706 */
   /* _WIN64  // Defined for applications for Win64. */
   /* _M_X64 // Defined for compilations that target x64 processors. */
   /* _DEBUG // Defined when you compile with /LDd, /MDd, and /MTd. */
   
   #if UINTPTR_MAX == 0xffffffff
      printf(" 32-bit"); if(logged) fprintf(ficlog," 32-bit");/* 32-bit */
   #elif UINTPTR_MAX == 0xffffffffffffffff
      printf(" 64-bit"); if(logged) fprintf(ficlog," 64-bit");/* 64-bit */
   #else
      printf(" wtf-bit"); if(logged) fprintf(ficlog," wtf-bit");/* wtf */
   #endif
   
   #if defined(__GNUC__)
   # if defined(__GNUC_PATCHLEVEL__)
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100 \
                               + __GNUC_PATCHLEVEL__)
   # else
   #  define __GNUC_VERSION__ (__GNUC__ * 10000 \
                               + __GNUC_MINOR__ * 100)
   # endif
      printf(" using GNU C version %d.\n", __GNUC_VERSION__);
      if(logged) fprintf(ficlog, " using GNU C version %d.\n", __GNUC_VERSION__);
   
      if (uname(&sysInfo) != -1) {
        printf("Running on: %s %s %s %s %s\n",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
            if(logged) fprintf(ficlog,"Running on: %s %s %s %s %s\n ",sysInfo.sysname, sysInfo.nodename, sysInfo.release, sysInfo.version, sysInfo.machine);
      }
      else
         perror("uname() error");
      //#ifndef __INTEL_COMPILER 
   #if !defined (__INTEL_COMPILER) && !defined(__APPLE__)
      printf("GNU libc version: %s\n", gnu_get_libc_version()); 
      if(logged) fprintf(ficlog,"GNU libc version: %s\n", gnu_get_libc_version());
   #endif
   #endif
   
      //   void main()
      //   {
   #if defined(_MSC_VER)
      if (IsWow64()){
              printf("\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
              if (logged) fprintf(ficlog, "\nThe program (probably compiled for 32bit) is running under WOW64 (64bit) emulation.\n");
      }
      else{
              printf("\nThe program is not running under WOW64 (i.e probably on a 64bit Windows).\n");
              if (logged) fprintf(ficlog, "\nThe programm is not running under WOW64 (i.e probably on a 64bit Windows).\n");
      }
      //      printf("\nPress Enter to continue...");
      //      getchar();
      //   }
   
   #endif
      
   
    }
   
   int prevalence_limit(double *p, double **prlim, double ageminpar, double agemaxpar){
     /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
     int i, j, k, i1 ;
     double ftolpl = 1.e-10;
     double age, agebase, agelim;
   
       strcpy(filerespl,"pl");
       strcat(filerespl,fileres);
       if((ficrespl=fopen(filerespl,"w"))==NULL) {
         printf("Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
         fprintf(ficlog,"Problem with period (stable) prevalence resultfile: %s\n", filerespl);return 1;
       }
       printf("Computing period (stable) prevalence: result on file '%s' \n", filerespl);
       fprintf(ficlog,"Computing period (stable) prevalence: result on file '%s' \n", filerespl);
       pstamp(ficrespl);
       fprintf(ficrespl,"# Period (stable) prevalence \n");
       fprintf(ficrespl,"#Age ");
       for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
       fprintf(ficrespl,"\n");
     
       /* prlim=matrix(1,nlstate,1,nlstate);*/ /* back in main */
   
       agebase=ageminpar;
       agelim=agemaxpar;
   
       i1=pow(2,cptcoveff);
       if (cptcovn < 1){i1=1;}
   
       for(cptcov=1,k=0;cptcov<=i1;cptcov++){
       /* for(cptcov=1,k=0;cptcov<=1;cptcov++){ */
         //for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           k=k+1;
           /* to clean */
           //printf("cptcov=%d cptcod=%d codtab=%d\n",cptcov, cptcod,codtabm(cptcod,cptcov));
           fprintf(ficrespl,"#******");
           printf("#******");
           fprintf(ficlog,"#******");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
             printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
             fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           }
           fprintf(ficrespl,"******\n");
           printf("******\n");
           fprintf(ficlog,"******\n");
   
           fprintf(ficrespl,"#Age ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficrespl,"V%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           }
           for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
           fprintf(ficrespl,"\n");
           
           for (age=agebase; age<=agelim; age++){
           /* for (age=agebase; age<=agebase; age++){ */
             prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
             fprintf(ficrespl,"%.0f ",age );
             for(j=1;j<=cptcoveff;j++)
               fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
             for(i=1; i<=nlstate;i++)
               fprintf(ficrespl," %.5f", prlim[i][i]);
             fprintf(ficrespl,"\n");
           } /* Age */
           /* was end of cptcod */
       } /* cptcov */
           return 0;
   }
   
   int hPijx(double *p, int bage, int fage){
       /*------------- h Pij x at various ages ------------*/
   
     int stepsize;
     int agelim;
     int hstepm;
     int nhstepm;
     int h, i, i1, j, k;
   
     double agedeb;
     double ***p3mat;
   
       strcpy(filerespij,"pij");  strcat(filerespij,fileres);
       if((ficrespij=fopen(filerespij,"w"))==NULL) {
         printf("Problem with Pij resultfile: %s\n", filerespij); return 1;
         fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij); return 1;
       }
       printf("Computing pij: result on file '%s' \n", filerespij);
       fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
       stepsize=(int) (stepm+YEARM-1)/YEARM;
       /*if (stepm<=24) stepsize=2;*/
   
       agelim=AGESUP;
       hstepm=stepsize*YEARM; /* Every year of age */
       hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
   
       /* hstepm=1;   aff par mois*/
       pstamp(ficrespij);
       fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
       i1= pow(2,cptcoveff);
      /* for(cptcov=1,k=0;cptcov<=i1;cptcov++){ */
      /*    /\*for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*\/ */
      /*   k=k+1;  */
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
         fprintf(ficrespij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
         fprintf(ficrespij,"******\n");
         
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
           
           /*        nhstepm=nhstepm*YEARM; aff par mois*/
           
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           oldm=oldms;savm=savms;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
           for(i=1; i<=nlstate;i++)
             for(j=1; j<=nlstate+ndeath;j++)
               fprintf(ficrespij," %1d-%1d",i,j);
           fprintf(ficrespij,"\n");
           for (h=0; h<=nhstepm; h++){
             /*agedebphstep = agedeb + h*hstepm/YEARM*stepm;*/
             fprintf(ficrespij,"%d %3.f %3.f",k, agedeb, agedeb + h*hstepm/YEARM*stepm );
             for(i=1; i<=nlstate;i++)
               for(j=1; j<=nlstate+ndeath;j++)
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);
             fprintf(ficrespij,"\n");
           }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           fprintf(ficrespij,"\n");
         }
         /*}*/
       }
           return 0;
   }
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
   #ifdef GSL
     const gsl_multimin_fminimizer_type *T;
     size_t iteri = 0, it;
     int rval = GSL_CONTINUE;
     int status = GSL_SUCCESS;
     double ssval;
   #endif
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter=0,m,size=100, cptcod;
   
     int jj, ll, li, lj, lk;
     int numlinepar=0; /* Current linenumber of parameter file */
     int num_filled;
     int itimes;
     int NDIM=2;
     int vpopbased=0;
   
     char ca[32], cb[32];
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     struct stat info;
     double agedeb=0.;
   
     double ageminpar=AGEOVERFLOW,agemin=AGEOVERFLOW, agemaxpar=-AGEOVERFLOW, agemax=-AGEOVERFLOW;
   
     double fret;
     double dum=0.; /* Dummy variable */
     double ***p3mat;
     double ***mobaverage;
   
     char line[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE];
   
     char model[MAXLINE], modeltemp[MAXLINE];
     char pathr[MAXLINE], pathimach[MAXLINE]; 
     char *tok, *val; /* pathtot */
     int firstobs=1, lastobs=10;
     int c,  h , cpt, c2;
     int jl=0;
     int i1, j1, jk, stepsize=0;
     int count=0;
   
     int *tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int mobilav=0,popforecast=0;
     int hstepm=0, nhstepm=0;
     int agemortsup;
     float  sumlpop=0.;
     double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
     double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
     double bage=0, fage=110., age, agelim=0., agebase=0.;
     double ftolpl=FTOL;
     double **prlim;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
   
     double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
     double **ximort;
     char *alph[]={"a","a","b","c","d","e"}, str[4]="1234";
     int *dcwave;
   
     char z[1]="c";
   
     /*char  *strt;*/
     char strtend[80];
   
   
   /*   setlocale (LC_ALL, ""); */
   /*   bindtextdomain (PACKAGE, LOCALEDIR); */
   /*   textdomain (PACKAGE); */
   /*   setlocale (LC_CTYPE, ""); */
   /*   setlocale (LC_MESSAGES, ""); */
   
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     rstart_time = time(NULL);  
     /*  (void) gettimeofday(&start_time,&tzp);*/
     start_time = *localtime(&rstart_time);
     curr_time=start_time;
     /*tml = *localtime(&start_time.tm_sec);*/
     /* strcpy(strstart,asctime(&tml)); */
     strcpy(strstart,asctime(&start_time));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tm_sec = tp.tm_sec +86400; */
   /*  tm = *localtime(&start_time.tm_sec); */
   /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
   /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
   /*   tmg.tm_hour=tmg.tm_hour + 1; */
   /*   tp.tm_sec = mktime(&tmg); */
   /*   strt=asctime(&tmg); */
   /*   printf("Time(after) =%s",strstart);  */
   /*  (void) time (&time_value);
   *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
   *  tm = *localtime(&time_value);
   *  strstart=asctime(&tm);
   *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
   */
   
     nberr=0; /* Number of errors and warnings */
     nbwarn=0;
   #ifdef WIN32
     _getcwd(pathcd, size);
   #else
     getcwd(pathcd, size);
   #endif
     syscompilerinfo(0);
     printf("\nIMaCh version %s, %s\n%s",version, copyright, fullversion);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       fgets(pathr,FILENAMELENGTH,stdin);
       i=strlen(pathr);
       if(pathr[i-1]=='\n')
         pathr[i-1]='\0';
       i=strlen(pathr);
       if(pathr[i-1]==' ') /* This may happen when dragging on oS/X! */
         pathr[i-1]='\0';
      for (tok = pathr; tok != NULL; ){
         printf("Pathr |%s|\n",pathr);
         while ((val = strsep(&tok, "\"" )) != NULL && *val == '\0');
         printf("val= |%s| pathr=%s\n",val,pathr);
         strcpy (pathtot, val);
         if(pathr[0] == '\0') break; /* Dirty */
       }
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
     /*cygwin_split_path(pathtot,path,optionfile);
       printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
     /* cutv(path,optionfile,pathtot,'\\');*/
   
     /* Split argv[0], imach program to get pathimach */
     printf("\nargv[0]=%s argv[1]=%s, \n",argv[0],argv[1]);
     split(argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
     printf("\nargv[0]=%s pathimach=%s, \noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",argv[0],pathimach,optionfile,optionfilext,optionfilefiname);
    /*   strcpy(pathimach,argv[0]); */
     /* Split argv[1]=pathtot, parameter file name to get path, optionfile, extension and name */
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("\npathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
   #ifdef WIN32
     _chdir(path); /* Can be a relative path */
     if(_getcwd(pathcd,MAXLINE) > 0) /* So pathcd is the full path */
   #else
     chdir(path); /* Can be a relative path */
     if (getcwd(pathcd, MAXLINE) > 0) /* So pathcd is the full path */
   #endif
     printf("Current directory %s!\n",pathcd);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("Directory already exists (or can't create it) %s%s, err=%d\n",path,optionfilefiname,outcmd);
       /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
       /* fclose(ficlog); */
   /*     exit(1); */
     }
   /*   if((imk=mkdir(optionfilefiname))<0){ */
   /*     perror("mkdir"); */
   /*   } */
   
     /*-------- arguments in the command line --------*/
   
     /* Main Log file */
     strcat(filelog, optionfilefiname);
     strcat(filelog,".log");    /* */
     if((ficlog=fopen(filelog,"w"))==NULL)    {
       printf("Problem with logfile %s\n",filelog);
       goto end;
     }
     fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"Version %s %s",version,fullversion);
     fprintf(ficlog,"\nEnter the parameter file name: \n");
     fprintf(ficlog,"pathimach=%s\npathtot=%s\n\
    path=%s \n\
    optionfile=%s\n\
    optionfilext=%s\n\
    optionfilefiname='%s'\n",pathimach,pathtot,path,optionfile,optionfilext,optionfilefiname);
   
     syscompilerinfo(1);
   
     printf("Local time (at start):%s",strstart);
     fprintf(ficlog,"Local time (at start): %s",strstart);
     fflush(ficlog);
   /*   (void) gettimeofday(&curr_time,&tzp); */
   /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tm_sec-start_time.tm_sec,tmpout)); */
   
     /* */
     strcpy(fileres,"r");
     strcat(fileres, optionfilefiname);
     strcat(fileres,".txt");    /* Other files have txt extension */
   
     /* Main ---------arguments file --------*/
   
     if((ficpar=fopen(optionfile,"r"))==NULL)    {
       printf("Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
       fprintf(ficlog,"Problem with optionfile '%s' with errno='%s'\n",optionfile,strerror(errno));
       fflush(ficlog);
       /* goto end; */
       exit(70); 
     }
   
   
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
   
       /* First parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", \
                           title, datafile, &lastobs, &firstpass,&lastpass)) !=EOF){
       if (num_filled != 5) {
         printf("Should be 5 parameters\n");
       }
       numlinepar++;
       printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\n", title, datafile, lastobs, firstpass,lastpass);
     }
     /* Second parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"ftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n", \
                           &ftol, &stepm, &ncovcol, &nlstate, &ndeath, &maxwav, &mle, &weightopt)) !=EOF){
       if (num_filled != 8) {
         printf("Not 8\n");
       }
       printf("ftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\n",ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt);
     }
   
     /* Third parameter line */
     while(fgets(line, MAXLINE, ficpar)) {
       /* If line starts with a # it is a comment */
       if (line[0] == '#') {
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
         continue;
       }else
         break;
     }
     if((num_filled=sscanf(line,"model=1+age%[^.\n]\n", model)) !=EOF){
       if (num_filled != 1) {
         printf("ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
         fprintf(ficlog,"ERROR %d: Model should be at minimum 'model=1+age.' %s\n",num_filled, line);
         model[0]='\0';
         goto end;
       }
       else{
         if (model[0]=='+'){
           for(i=1; i<=strlen(model);i++)
             modeltemp[i-1]=model[i];
         }
         strcpy(model,modeltemp); 
       }
       /* printf(" model=1+age%s modeltemp= %s, model=%s\n",model, modeltemp, model);fflush(stdout); */
     }
     /* fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=1+age+%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model); */
     /* numlinepar=numlinepar+3; /\* In general *\/ */
     /* printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age+%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model); */
     if(model[strlen(model)-1]=='.') /* Suppressing leading dot in the model */
       model[strlen(model)-1]='\0';
     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=1+age%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     /* if(model[0]=='#'|| model[0]== '\0'){ */
     if(model[0]=='#'){
       printf("Error in 'model' line: model should start with 'model=1+age+' and end with '.' \n \
    'model=1+age+.' or 'model=1+age+V1.' or 'model=1+age+age*age+V1+V1*age.' or \n \
    'model=1+age+V1+V2.' or 'model=1+age+V1+V2+V1*V2.' etc. \n");          \
       if(mle != -1){
         printf("Fix the model line and run imach with mle=-1 to get a correct template of the parameter file.\n");
         exit(1);
       }
     }
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       if(line[1]=='q'){ /* This #q will quit imach (the answer is q) */
         z[0]=line[1];
       }
       /* printf("****line [1] = %c \n",line[1]); */
       fputs(line, stdout);
       //puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n);  /**< used in readdata */
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement plus one, indepently of n in Vn*/
     /* v1+v2+v3+v2*v4+v5*age makes cptcovn = 5
        v1+v2*age+v2*v3 makes cptcovn = 3
     */
     if (strlen(model)>1) 
       ncovmodel=2+nbocc(model,'+')+1; /*Number of variables including intercept and age = cptcovn + intercept + age : v1+v2+v3+v2*v4+v5*age makes 5+2=7,age*age makes 3*/
     else
       ncovmodel=2; /* Constant and age */
     nforce= (nlstate+ndeath-1)*nlstate; /* Number of forces ij from state i to j */
     npar= nforce*ncovmodel; /* Number of parameters like aij*/
     if(npar >MAXPARM || nlstate >NLSTATEMAX || ndeath >NDEATHMAX || ncovmodel>NCOVMAX){
       printf("Too complex model for current IMaCh: npar=(nlstate+ndeath-1)*nlstate*ncovmodel=%d >= %d(MAXPARM) or nlstate=%d >= %d(NLSTATEMAX) or ndeath=%d >= %d(NDEATHMAX) or ncovmodel=(k+age+#of+signs)=%d(NCOVMAX) >= %d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fprintf(ficlog,"Too complex model for current IMaCh: %d >=%d(MAXPARM) or %d >=%d(NLSTATEMAX) or %d >=%d(NDEATHMAX) or %d(NCOVMAX) >=%d\n",npar, MAXPARM, nlstate, NLSTATEMAX, ndeath, NDEATHMAX, ncovmodel, NCOVMAX);
       fflush(stdout);
       fclose (ficlog);
       goto end;
     }
     delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     delti=delti3[1][1];
     /*delti=vector(1,npar); *//* Scale of each paramater (output from hesscov)*/
     if(mle==-1){ /* Print a wizard for help writing covariance matrix */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You chose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       fclose (ficparo);
       fclose (ficlog);
       goto end;
       exit(0);
     }
     else if(mle==-3) { /* Main Wizard */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You chose mle=-3, look at file %s for a template of covariance matrix \n",filereso);
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       matcov=matrix(1,npar,1,npar);
     }
     else{
       /* Read guessed parameters */
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
       
       param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       for(i=1; i <=nlstate; i++){
         j=0;
         for(jj=1; jj <=nlstate+ndeath; jj++){
           if(jj==i) continue;
           j++;
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ((i1 != i) || (j1 != jj)){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n \
   It might be a problem of design; if ncovcol and the model are correct\n \
   run imach with mle=-1 to get a correct template of the parameter file.\n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           fprintf(ficparo,"%1d%1d",i1,j1);
           if(mle==1)
             printf("%1d%1d",i,jj);
           fprintf(ficlog,"%1d%1d",i,jj);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar," %lf",&param[i][j][k]);
             if(mle==1){
               printf(" %lf",param[i][j][k]);
               fprintf(ficlog," %lf",param[i][j][k]);
             }
             else
               fprintf(ficlog," %lf",param[i][j][k]);
             fprintf(ficparo," %lf",param[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           if(mle==1)
             printf("\n");
           fprintf(ficlog,"\n");
           fprintf(ficparo,"\n");
         }
       }  
       fflush(ficlog);
   
       /* Reads scales values */
       p=param[1][1];
       
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
   
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath-1; j++){
           fscanf(ficpar,"%1d%1d",&i1,&j1);
           if ( (i1-i) * (j1-j) != 0){
             printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
             exit(1);
           }
           printf("%1d%1d",i,j);
           fprintf(ficparo,"%1d%1d",i1,j1);
           fprintf(ficlog,"%1d%1d",i1,j1);
           for(k=1; k<=ncovmodel;k++){
             fscanf(ficpar,"%le",&delti3[i][j][k]);
             printf(" %le",delti3[i][j][k]);
             fprintf(ficparo," %le",delti3[i][j][k]);
             fprintf(ficlog," %le",delti3[i][j][k]);
           }
           fscanf(ficpar,"\n");
           numlinepar++;
           printf("\n");
           fprintf(ficparo,"\n");
           fprintf(ficlog,"\n");
         }
       }
       fflush(ficlog);
   
       /* Reads covariance matrix */
       delti=delti3[1][1];
   
   
       /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
     
       /* Reads comments: lines beginning with '#' */
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         numlinepar++;
         fputs(line,stdout);
         fputs(line,ficparo);
         fputs(line,ficlog);
       }
       ungetc(c,ficpar);
     
       matcov=matrix(1,npar,1,npar);
       for(i=1; i <=npar; i++)
         for(j=1; j <=npar; j++) matcov[i][j]=0.;
         
       /* Scans npar lines */
       for(i=1; i <=npar; i++){
         count=fscanf(ficpar,"%1d%1d%1d",&i1,&j1,&jk);
         if(count != 3){
           printf("Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
   This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           fprintf(ficlog,"Error! Error in parameter file %s at line %d after line starting with %1d%1d%1d\n\
   This is probably because your covariance matrix doesn't \n  contain exactly %d lines corresponding to your model line '1+age+%s'.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",optionfile,numlinepar, i1,j1,jk, npar, model);
           exit(1);
         }else
         if(mle==1)
           printf("%1d%1d%1d",i1,j1,jk);
         fprintf(ficlog,"%1d%1d%1d",i1,j1,jk);
         fprintf(ficparo,"%1d%1d%1d",i1,j1,jk);
         for(j=1; j <=i; j++){
           fscanf(ficpar," %le",&matcov[i][j]);
           if(mle==1){
             printf(" %.5le",matcov[i][j]);
           }
           fprintf(ficlog," %.5le",matcov[i][j]);
           fprintf(ficparo," %.5le",matcov[i][j]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
       /* End of read covariance matrix npar lines */
       for(i=1; i <=npar; i++)
         for(j=i+1;j<=npar;j++)
           matcov[i][j]=matcov[j][i];
       
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       
       fflush(ficlog);
       
       /*-------- Rewriting parameter file ----------*/
       strcpy(rfileres,"r");    /* "Rparameterfile */
       strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
       strcat(rfileres,".");    /* */
       strcat(rfileres,optionfilext);    /* Other files have txt extension */
       if((ficres =fopen(rfileres,"w"))==NULL) {
         printf("Problem writing new parameter file: %s\n", fileres);goto end;
         fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
       }
       fprintf(ficres,"#%s\n",version);
     }    /* End of mle != -3 */
   
     /*  Main data
      */
     n= lastobs;
     num=lvector(1,n);
     moisnais=vector(1,n);
     annais=vector(1,n);
     moisdc=vector(1,n);
     andc=vector(1,n);
     agedc=vector(1,n);
     cod=ivector(1,n);
     weight=vector(1,n);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
     mint=matrix(1,maxwav,1,n);
     anint=matrix(1,maxwav,1,n);
     s=imatrix(1,maxwav+1,1,n); /* s[i][j] health state for wave i and individual j */ 
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,NCOVMAX); /* Number of code per covariate; if O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
     ncodemaxwundef=ivector(1,NCOVMAX); /* Number of code per covariate; if - 1 O and 1 only, 2**ncov; V1+V2+V3+V4=>16 */
   
     /* Reads data from file datafile */
     if (readdata(datafile, firstobs, lastobs, &imx)==1)
       goto end;
   
     /* Calculation of the number of parameters from char model */
       /*    modelsav=V2+V1+V4+age*V3 strb=age*V3 stra=V2+V1+V4 
           k=4 (age*V3) Tvar[k=4]= 3 (from V3) Tag[cptcovage=1]=4
           k=3 V4 Tvar[k=3]= 4 (from V4)
           k=2 V1 Tvar[k=2]= 1 (from V1)
           k=1 Tvar[1]=2 (from V2)
       */
     Tvar=ivector(1,NCOVMAX); /* Was 15 changed to NCOVMAX. */
     /*  V2+V1+V4+age*V3 is a model with 4 covariates (3 plus signs). 
         For each model-covariate stores the data-covariate id. Tvar[1]=2, Tvar[2]=1, Tvar[3]=4, 
         Tvar[4=age*V3] is 3 and 'age' is recorded in Tage.
     */
     /* For model-covariate k tells which data-covariate to use but
       because this model-covariate is a construction we invent a new column
       ncovcol + k1
       If already ncovcol=4 and model=V2+V1+V1*V4+age*V3
       Tvar[3=V1*V4]=4+1 etc */
     Tprod=ivector(1,NCOVMAX); /* Gives the position of a product */
     /* Tprod[k1=1]=3(=V1*V4) for V2+V1+V1*V4+age*V3
        if  V2+V1+V1*V4+age*V3+V3*V2   TProd[k1=2]=5 (V3*V2)
     */
     Tvaraff=ivector(1,NCOVMAX); /* Unclear */
     Tvard=imatrix(1,NCOVMAX,1,2); /* n=Tvard[k1][1]  and m=Tvard[k1][2] gives the couple n,m of the k1 th product Vn*Vm
                               * For V3*V2 (in V2+V1+V1*V4+age*V3+V3*V2), V3*V2 position is 2nd. 
                               * Tvard[k1=2][1]=3 (V3) Tvard[k1=2][2]=2(V2) */
     Tage=ivector(1,NCOVMAX); /* Gives the covariate id of covariates associated with age: V2 + V1 + age*V4 + V3*age
                            4 covariates (3 plus signs)
                            Tage[1=V3*age]= 4; Tage[2=age*V4] = 3
                         */  
   
   /* Main decodemodel */
   
   
     if(decodemodel(model, lastobs) == 1)
       goto end;
   
     if((double)(lastobs-imx)/(double)imx > 1.10){
       nbwarn++;
       printf("Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
       fprintf(ficlog,"Warning: The value of parameter lastobs=%d is big compared to the \n  effective number of cases imx=%d, please adjust, \n  otherwise you are allocating more memory than necessary.\n",lastobs, imx); 
     }
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights. We can have weights different from 1 but want no weight*/
       for(i=1;i<=imx;i++) weight[i]=1.0; /* changed to imx */
     }
   
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     if(calandcheckages(imx, maxwav, &agemin, &agemax, &nberr, &nbwarn) == 1)
       goto end;
   
   
     agegomp=(int)agemin;
     free_vector(moisnais,1,n);
     free_vector(annais,1,n);
     /* free_matrix(mint,1,maxwav,1,n);
        free_matrix(anint,1,maxwav,1,n);*/
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
     /* */
     
     wav=ivector(1,imx);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);
     bh=imatrix(1,lastpass-firstpass+1,1,imx);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);
      
     /* Concatenates waves */
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
     /* */
    
     /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
   
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     Ndum =ivector(-1,NCOVMAX);  
     if (ncovmodel-nagesqr > 2 ) /* That is if covariate other than cst, age and age*age */
       tricode(Tvar,nbcode,imx, Ndum); /**< Fills nbcode[Tvar[j]][l]; */
     /* Nbcode gives the value of the lth modality of jth covariate, in
        V2+V1*age, there are 3 covariates Tvar[2]=1 (V1).*/
     /* 1 to ncodemax[j] is the maximum value of this jth covariate */
   
     /*  codtab=imatrix(1,100,1,10);*/ /* codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) */
     /*printf(" codtab[1,1],codtab[100,10]=%d,%d\n", codtab[1][1],codtabm(100,10));*/
     /* codtab gives the value 1 or 2 of the hth combination of k covariates (1 or 2).*/
     h=0;
   
   
     /*if (cptcovn > 0) */
         
    
     m=pow(2,cptcoveff);
    
             /**< codtab(h,k)  k   = codtab[h,k]=( (h-1) - mod(k-1,2**(k-1) )/2**(k-1) + 1
              * For k=4 covariates, h goes from 1 to 2**k
              * codtabm(h,k)=  1 & (h-1) >> (k-1) ;
              *     h\k   1     2     3     4
              *______________________________  
              *     1 i=1 1 i=1 1 i=1 1 i=1 1
              *     2     2     1     1     1
              *     3 i=2 1     2     1     1
              *     4     2     2     1     1
              *     5 i=3 1 i=2 1     2     1
              *     6     2     1     2     1
              *     7 i=4 1     2     2     1
              *     8     2     2     2     1
              *     9 i=5 1 i=3 1 i=2 1     2
              *    10     2     1     1     2
              *    11 i=6 1     2     1     2
              *    12     2     2     1     2
              *    13 i=7 1 i=4 1     2     2    
              *    14     2     1     2     2
              *    15 i=8 1     2     2     2
              *    16     2     2     2     2
              */
     for(h=1; h <=100 ;h++){ 
       /* printf("h=%2d ", h); */
        /* for(k=1; k <=10; k++){ */
          /* printf("k=%d %d ",k,codtabm(h,k)); */
        /*   codtab[h][k]=codtabm(h,k); */
        /* } */
        /* printf("\n"); */
     }
     /* for(k=1;k<=cptcoveff; k++){ /\* scans any effective covariate *\/ */
     /*   for(i=1; i <=pow(2,cptcoveff-k);i++){ /\* i=1 to 8/1=8; i=1 to 8/2=4; i=1 to 8/8=1 *\/  */
     /*     for(j=1; j <= ncodemax[k]; j++){ /\* For each modality of this covariate ncodemax=2*\/ */
     /*    for(cpt=1; cpt <=pow(2,k-1); cpt++){  /\* cpt=1 to 8/2**(3+1-1 or 3+1-3) =1 or 4 *\/  */
     /*      h++; */
     /*      if (h>m)  */
     /*        h=1; */
     /*      codtab[h][k]=j; */
     /*      /\* codtab[12][3]=1; *\/ */
     /*      /\*codtab[h][Tvar[k]]=j;*\/ */
     /*      /\* printf("h=%d k=%d j=%d codtab[h][k]=%d Tvar[k]=%d codtab[h][Tvar[k]]=%d \n",h, k,j,codtab[h][k],Tvar[k],codtab[h][Tvar[k]]); *\/ */
     /*    }  */
     /*     } */
     /*   } */
     /* }  */
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){  */
     /*    for(k=1; k <=cptcovn; k++){ */
     /*      printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff); */
     /*    } */
     /*    printf("\n"); */
     /* } */
     /*   scanf("%d",i);*/
   
    free_ivector(Ndum,-1,NCOVMAX);
   
   
       
     /* Initialisation of ----------- gnuplot -------------*/
     strcpy(optionfilegnuplot,optionfilefiname);
     if(mle==-3)
       strcat(optionfilegnuplot,"-mort");
     strcat(optionfilegnuplot,".gp");
   
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
       printf("Problem with file %s",optionfilegnuplot);
     }
     else{
       fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       //fprintf(ficgp,"set missing 'NaNq'\n");
       fprintf(ficgp,"set datafile missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
   
   
     /* Initialisation of --------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfilefiname); /* Main html file */
     if(mle==-3)
       strcat(optionfilehtm,"-mort");
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm);
       exit(0);
     }
   
     strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
     strcat(optionfilehtmcov,"-cov.htm");
     if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtmcov), exit(0);
     }
     else{
     fprintf(fichtmcov,"<html><head>\n<title>IMaCh Cov %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
             optionfilehtmcov,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<html><head>\n<title>IMaCh %s</title></head>\n <body><font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
   \n\
   <hr  size=\"2\" color=\"#EC5E5E\">\
    <ul><li><h4>Parameter files</h4>\n\
    - Parameter file: <a href=\"%s.%s\">%s.%s</a><br>\n\
    - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
    - Log file of the run: <a href=\"%s\">%s</a><br>\n\
    - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
    - Date and time at start: %s</ul>\n",\
             optionfilehtm,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             optionfilefiname,optionfilext,optionfilefiname,optionfilext,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
   #ifdef WIN32
     _chdir(optionfilefiname); /* Move to directory named optionfile */
   #else
     chdir(optionfilefiname); /* Move to directory named optionfile */
   #endif
             
     
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,strstart);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     /* For mortality only */
     if (mle==-3){
       ximort=matrix(1,NDIM,1,NDIM); 
       /*     ximort=gsl_matrix_alloc(1,NDIM,1,NDIM); */
       cens=ivector(1,n);
       ageexmed=vector(1,n);
       agecens=vector(1,n);
       dcwave=ivector(1,n);
    
       for (i=1; i<=imx; i++){
         dcwave[i]=-1;
         for (m=firstpass; m<=lastpass; m++)
           if (s[m][i]>nlstate) {
             dcwave[i]=m;
             /*    printf("i=%d j=%d s=%d dcwave=%d\n",i,j, s[j][i],dcwave[i]);*/
             break;
           }
       }
   
       for (i=1; i<=imx; i++) {
         if (wav[i]>0){
           ageexmed[i]=agev[mw[1][i]][i];
           j=wav[i];
           agecens[i]=1.; 
   
           if (ageexmed[i]> 1 && wav[i] > 0){
             agecens[i]=agev[mw[j][i]][i];
             cens[i]= 1;
           }else if (ageexmed[i]< 1) 
             cens[i]= -1;
           if (agedc[i]< AGESUP && agedc[i]>1 && dcwave[i]>firstpass && dcwave[i]<=lastpass)
             cens[i]=0 ;
         }
         else cens[i]=-1;
       }
       
       for (i=1;i<=NDIM;i++) {
         for (j=1;j<=NDIM;j++)
           ximort[i][j]=(i == j ? 1.0 : 0.0);
       }
       
       /*p[1]=0.0268; p[NDIM]=0.083;*/
       /*printf("%lf %lf", p[1], p[2]);*/
       
       
   #ifdef GSL
       printf("GSL optimization\n");  fprintf(ficlog,"Powell\n");
   #else
       printf("Powell\n");  fprintf(ficlog,"Powell\n");
   #endif
       strcpy(filerespow,"pow-mort"); 
       strcat(filerespow,fileres);
       if((ficrespow=fopen(filerespow,"w"))==NULL) {
         printf("Problem with resultfile: %s\n", filerespow);
         fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
       }
   #ifdef GSL
       fprintf(ficrespow,"# GSL optimization\n# iter -2*LL");
   #else
       fprintf(ficrespow,"# Powell\n# iter -2*LL");
   #endif
       /*  for (i=1;i<=nlstate;i++)
           for(j=1;j<=nlstate+ndeath;j++)
           if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
       */
       fprintf(ficrespow,"\n");
   #ifdef GSL
       /* gsl starts here */ 
       T = gsl_multimin_fminimizer_nmsimplex;
       gsl_multimin_fminimizer *sfm = NULL;
       gsl_vector *ss, *x;
       gsl_multimin_function minex_func;
   
       /* Initial vertex size vector */
       ss = gsl_vector_alloc (NDIM);
       
       if (ss == NULL){
         GSL_ERROR_VAL ("failed to allocate space for ss", GSL_ENOMEM, 0);
       }
       /* Set all step sizes to 1 */
       gsl_vector_set_all (ss, 0.001);
   
       /* Starting point */
       
       x = gsl_vector_alloc (NDIM);
       
       if (x == NULL){
         gsl_vector_free(ss);
         GSL_ERROR_VAL ("failed to allocate space for x", GSL_ENOMEM, 0);
       }
     
       /* Initialize method and iterate */
       /*     p[1]=0.0268; p[NDIM]=0.083; */
       /*     gsl_vector_set(x, 0, 0.0268); */
       /*     gsl_vector_set(x, 1, 0.083); */
       gsl_vector_set(x, 0, p[1]);
       gsl_vector_set(x, 1, p[2]);
   
       minex_func.f = &gompertz_f;
       minex_func.n = NDIM;
       minex_func.params = (void *)&p; /* ??? */
       
       sfm = gsl_multimin_fminimizer_alloc (T, NDIM);
       gsl_multimin_fminimizer_set (sfm, &minex_func, x, ss);
       
       printf("Iterations beginning .....\n\n");
       printf("Iter. #    Intercept       Slope     -Log Likelihood     Simplex size\n");
   
       iteri=0;
       while (rval == GSL_CONTINUE){
         iteri++;
         status = gsl_multimin_fminimizer_iterate(sfm);
         
         if (status) printf("error: %s\n", gsl_strerror (status));
         fflush(0);
         
         if (status) 
           break;
         
         rval = gsl_multimin_test_size (gsl_multimin_fminimizer_size (sfm), 1e-6);
         ssval = gsl_multimin_fminimizer_size (sfm);
         
         if (rval == GSL_SUCCESS)
           printf ("converged to a local maximum at\n");
         
         printf("%5d ", iteri);
         for (it = 0; it < NDIM; it++){
           printf ("%10.5f ", gsl_vector_get (sfm->x, it));
         }
         printf("f() = %-10.5f ssize = %.7f\n", sfm->fval, ssval);
       }
       
       printf("\n\n Please note: Program should be run many times with varying starting points to detemine global maximum\n\n");
       
       gsl_vector_free(x); /* initial values */
       gsl_vector_free(ss); /* inital step size */
       for (it=0; it<NDIM; it++){
         p[it+1]=gsl_vector_get(sfm->x,it);
         fprintf(ficrespow," %.12lf", p[it]);
       }
       gsl_multimin_fminimizer_free (sfm); /* p *(sfm.x.data) et p *(sfm.x.data+1)  */
   #endif
   #ifdef POWELL
        powell(p,ximort,NDIM,ftol,&iter,&fret,gompertz);
   #endif  
       fclose(ficrespow);
       
       hesscov(matcov, p, NDIM, delti, 1e-4, gompertz); 
   
       for(i=1; i <=NDIM; i++)
         for(j=i+1;j<=NDIM;j++)
           matcov[i][j]=matcov[j][i];
       
       printf("\nCovariance matrix\n ");
       for(i=1; i <=NDIM; i++) {
         for(j=1;j<=NDIM;j++){ 
           printf("%f ",matcov[i][j]);
         }
         printf("\n ");
       }
       
       printf("iter=%d MLE=%f Eq=%lf*exp(%lf*(age-%d))\n",iter,-gompertz(p),p[1],p[2],agegomp);
       for (i=1;i<=NDIM;i++) {
         printf("%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
         fprintf(ficlog,"%f [%f ; %f]\n",p[i],p[i]-2*sqrt(matcov[i][i]),p[i]+2*sqrt(matcov[i][i]));
       }
       lsurv=vector(1,AGESUP);
       lpop=vector(1,AGESUP);
       tpop=vector(1,AGESUP);
       lsurv[agegomp]=100000;
       
       for (k=agegomp;k<=AGESUP;k++) {
         agemortsup=k;
         if (p[1]*exp(p[2]*(k-agegomp))>1) break;
       }
       
       for (k=agegomp;k<agemortsup;k++)
         lsurv[k+1]=lsurv[k]-lsurv[k]*(p[1]*exp(p[2]*(k-agegomp)));
       
       for (k=agegomp;k<agemortsup;k++){
         lpop[k]=(lsurv[k]+lsurv[k+1])/2.;
         sumlpop=sumlpop+lpop[k];
       }
       
       tpop[agegomp]=sumlpop;
       for (k=agegomp;k<(agemortsup-3);k++){
         /*  tpop[k+1]=2;*/
         tpop[k+1]=tpop[k]-lpop[k];
       }
       
       
       printf("\nAge   lx     qx    dx    Lx     Tx     e(x)\n");
       for (k=agegomp;k<(agemortsup-2);k++) 
         printf("%d %.0lf %lf %.0lf %.0lf %.0lf %lf\n",k,lsurv[k],p[1]*exp(p[2]*(k-agegomp)),(p[1]*exp(p[2]*(k-agegomp)))*lsurv[k],lpop[k],tpop[k],tpop[k]/lsurv[k]);
       
       
       replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
       if(ageminpar == AGEOVERFLOW ||agemaxpar == AGEOVERFLOW){
           printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
           fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else
         printinggnuplotmort(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       printinghtmlmort(fileres,title,datafile, firstpass, lastpass, \
                        stepm, weightopt,\
                        model,imx,p,matcov,agemortsup);
       
       free_vector(lsurv,1,AGESUP);
       free_vector(lpop,1,AGESUP);
       free_vector(tpop,1,AGESUP);
   #ifdef GSL
       free_ivector(cens,1,n);
       free_vector(agecens,1,n);
       free_ivector(dcwave,1,n);
       free_matrix(ximort,1,NDIM,1,NDIM);
   #endif
     } /* Endof if mle==-3 mortality only */
     /* Standard maximisation */
     else{ /* For mle >=1 */
       globpr=0;/* debug */
       /* Computes likelihood for initial parameters */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       globpr=1; /* again, to print the contributions */
       likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
       printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
       for (k=1; k<=npar;k++)
         printf(" %d %8.5f",k,p[k]);
       printf("\n");
       if(mle>=1){ /* Could be 1 or 2, Real Maximisation */
         mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
       }
       
       /*--------- results files --------------*/
       fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=1+age+%s.\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
       
       
       fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
           if (k != i) {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             fprintf(ficres,"%1d%1d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%12.7f ",p[jk]);
               fprintf(ficlog,"%12.7f ",p[jk]);
               fprintf(ficres,"%12.7f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       if(mle!=0){
         /* Computing hessian and covariance matrix */
         ftolhess=ftol; /* Usually correct */
         hesscov(matcov, p, npar, delti, ftolhess, func);
       }
       printf("Parameters and 95%% confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W .\n But be careful that parameters are highly correlated because incidence of disability is highly correlated to incidence of recovery.\n It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
       fprintf(ficlog, "Parameters, Wald tests and Wald-based confidence intervals\n W is simply the result of the division of the parameter by the square root of covariance of the parameter.\n And Wald-based confidence intervals plus and minus 1.96 * W \n  It might be better to visualize the covariance matrix. See the page 'Matrix of variance-covariance of one-step probabilities' and its graphs.\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(k=1; k <=(nlstate+ndeath); k++){
           if (k != i) {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
               fprintf(ficlog,"%12.7f W=%8.3f CI=[%12.7f ; %12.7f] ",p[jk], p[jk]/sqrt(matcov[jk][jk]), p[jk]-1.96*sqrt(matcov[jk][jk]),p[jk]+1.96*sqrt(matcov[jk][jk]));
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
           }
         }
       }
   
       fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
       printf("# Scales (for hessian or gradient estimation)\n");
       fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
       for(i=1,jk=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if (j!=i) {
             fprintf(ficres,"%1d%1d",i,j);
             printf("%1d%1d",i,j);
             fprintf(ficlog,"%1d%1d",i,j);
             for(k=1; k<=ncovmodel;k++){
               printf(" %.5e",delti[jk]);
               fprintf(ficlog," %.5e",delti[jk]);
               fprintf(ficres," %.5e",delti[jk]);
               jk++;
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
         }
       }
       
       fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       if(mle>=1)
         printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
       /* # 121 Var(a12)\n\ */
       /* # 122 Cov(b12,a12) Var(b12)\n\ */
       /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
       /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
       /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
       /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
       /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
       /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
       
       
       /* Just to have a covariance matrix which will be more understandable
          even is we still don't want to manage dictionary of variables
       */
       for(itimes=1;itimes<=2;itimes++){
         jj=0;
         for(i=1; i <=nlstate; i++){
           for(j=1; j <=nlstate+ndeath; j++){
             if(j==i) continue;
             for(k=1; k<=ncovmodel;k++){
               jj++;
               ca[0]= k+'a'-1;ca[1]='\0';
               if(itimes==1){
                 if(mle>=1)
                   printf("#%1d%1d%d",i,j,k);
                 fprintf(ficlog,"#%1d%1d%d",i,j,k);
                 fprintf(ficres,"#%1d%1d%d",i,j,k);
               }else{
                 if(mle>=1)
                   printf("%1d%1d%d",i,j,k);
                 fprintf(ficlog,"%1d%1d%d",i,j,k);
                 fprintf(ficres,"%1d%1d%d",i,j,k);
               }
               ll=0;
               for(li=1;li <=nlstate; li++){
                 for(lj=1;lj <=nlstate+ndeath; lj++){
                   if(lj==li) continue;
                   for(lk=1;lk<=ncovmodel;lk++){
                     ll++;
                     if(ll<=jj){
                       cb[0]= lk +'a'-1;cb[1]='\0';
                       if(ll<jj){
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficlog," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                           fprintf(ficres," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }else{
                         if(itimes==1){
                           if(mle>=1)
                             printf(" Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficlog," Var(%s%1d%1d)",ca,i,j);
                           fprintf(ficres," Var(%s%1d%1d)",ca,i,j);
                         }else{
                           if(mle>=1)
                             printf(" %.5e",matcov[jj][ll]); 
                           fprintf(ficlog," %.5e",matcov[jj][ll]); 
                           fprintf(ficres," %.5e",matcov[jj][ll]); 
                         }
                       }
                     }
                   } /* end lk */
                 } /* end lj */
               } /* end li */
               if(mle>=1)
                 printf("\n");
               fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
               numlinepar++;
             } /* end k*/
           } /*end j */
         } /* end i */
       } /* end itimes */
       
       fflush(ficlog);
       fflush(ficres);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       estepm=0;
       fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
       if (estepm==0 || estepm < stepm) estepm=stepm;
       if (fage <= 2) {
         bage = ageminpar;
         fage = agemaxpar;
       }
       
       fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
       fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
       fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
   
       /* Other stuffs, more or less useful */    
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
       fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       
       dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
       dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
       
       fscanf(ficpar,"pop_based=%d\n",&popbased);
       fprintf(ficlog,"pop_based=%d\n",popbased);
       fprintf(ficparo,"pop_based=%d\n",popbased);   
       fprintf(ficres,"pop_based=%d\n",popbased);   
       
       while((c=getc(ficpar))=='#' && c!= EOF){
         ungetc(c,ficpar);
         fgets(line, MAXLINE, ficpar);
         fputs(line,stdout);
         fputs(line,ficparo);
       }
       ungetc(c,ficpar);
       
       fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);
       fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
       /* day and month of proj2 are not used but only year anproj2.*/
       
       
       
        /* freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint); */
       /* ,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2); */
       
       replace_back_to_slash(pathc,pathcd); /* Even gnuplot wants a / */
       if(ageminpar == AGEOVERFLOW ||agemaxpar == -AGEOVERFLOW){
           printf("Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
           fprintf(ficlog,"Warning! Error in gnuplot file with ageminpar %f or agemaxpar %f overflow\n\
   This is probably because your parameter file doesn't \n  contain the exact number of lines (or columns) corresponding to your model line.\n\
   Please run with mle=-1 to get a correct covariance matrix.\n",ageminpar,agemaxpar);
       }else
         printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
       
       printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                    model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                    jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         
      /*------------ free_vector  -------------*/
      /*  chdir(path); */
    
       free_ivector(wav,1,imx);
       free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
       free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
       free_lvector(num,1,n);
       free_vector(agedc,1,n);
       /*free_matrix(covar,0,NCOVMAX,1,n);*/
       /*free_matrix(covar,1,NCOVMAX,1,n);*/
       fclose(ficparo);
       fclose(ficres);
   
   
       /* Other results (useful)*/
   
   
       /*--------------- Prevalence limit  (period or stable prevalence) --------------*/
       /*#include "prevlim.h"*/  /* Use ficrespl, ficlog */
       prlim=matrix(1,nlstate,1,nlstate);
       prevalence_limit(p, prlim,  ageminpar, agemaxpar);
       fclose(ficrespl);
   
   #ifdef FREEEXIT2
   #include "freeexit2.h"
   #endif
   
       /*------------- h Pij x at various ages ------------*/
       /*#include "hpijx.h"*/
       hPijx(p, bage, fage);
       fclose(ficrespij);
   
     /*-------------- Variance of one-step probabilities---*/
       k=1;
       varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax,strstart);
   
   
       probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
       for(i=1;i<=AGESUP;i++)
         for(j=1;j<=NCOVMAX;j++)
           for(k=1;k<=NCOVMAX;k++)
             probs[i][j][k]=0.;
   
       /*---------- Forecasting ------------------*/
       /*if((stepm == 1) && (strcmp(model,".")==0)){*/
       if(prevfcast==1){
         /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
         /*      }  */
         /*      else{ */
         /*        erreur=108; */
         /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
         /*      } */
       }
    
       /* ------ Other prevalence ratios------------ */
   
       /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
   
       prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
       /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
           ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
       */
   
       if (mobilav!=0) {
         mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
         if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
           fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           printf(" Error in movingaverage mobilav=%d\n",mobilav);
         }
       }
   
   
       /*---------- Health expectancies, no variances ------------*/
   
       strcpy(filerese,"e");
       strcat(filerese,fileres);
       if((ficreseij=fopen(filerese,"w"))==NULL) {
         printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
         fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       }
       printf("Computing Health Expectancies: result on file '%s' \n", filerese);
       fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficreseij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           }
           fprintf(ficreseij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           evsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, strstart);  
         
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
       fclose(ficreseij);
   
   
       /*---------- Health expectancies and variances ------------*/
   
   
       strcpy(filerest,"t");
       strcat(filerest,fileres);
       if((ficrest=fopen(filerest,"w"))==NULL) {
         printf("Problem with total LE resultfile: %s\n", filerest);goto end;
         fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
       }
       printf("Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
       fprintf(ficlog,"Computing Total Life expectancies with their standard errors: file '%s' \n", filerest); 
   
   
       strcpy(fileresstde,"stde");
       strcat(fileresstde,fileres);
       if((ficresstdeij=fopen(fileresstde,"w"))==NULL) {
         printf("Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
         fprintf(ficlog,"Problem with Health Exp. and std errors resultfile: %s\n", fileresstde); exit(0);
       }
       printf("Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
       fprintf(ficlog,"Computing Health Expectancies and standard errors: result on file '%s' \n", fileresstde);
   
       strcpy(filerescve,"cve");
       strcat(filerescve,fileres);
       if((ficrescveij=fopen(filerescve,"w"))==NULL) {
         printf("Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
         fprintf(ficlog,"Problem with Covar. Health Exp. resultfile: %s\n", filerescve); exit(0);
       }
       printf("Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
       fprintf(ficlog,"Computing Covar. of Health Expectancies: result on file '%s' \n", filerescve);
   
       strcpy(fileresv,"v");
       strcat(fileresv,fileres);
       if((ficresvij=fopen(fileresv,"w"))==NULL) {
         printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
         fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
       }
       printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
       fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficrest,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficrest,"******\n");
   
           fprintf(ficresstdeij,"\n#****** ");
           fprintf(ficrescveij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) {
             fprintf(ficresstdeij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
             fprintf(ficrescveij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           }
           fprintf(ficresstdeij,"******\n");
           fprintf(ficrescveij,"******\n");
   
           fprintf(ficresvij,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficresvij,"******\n");
   
           eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           cvevsij(eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov, strstart);  
           /*
            */
           /* goto endfree; */
    
           vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
           pstamp(ficrest);
   
   
           for(vpopbased=0; vpopbased <= popbased; vpopbased++){ /* Done for vpopbased=0 and vpopbased=1 if popbased==1*/
             oldm=oldms;savm=savms; /* ZZ Segmentation fault */
             cptcod= 0; /* To be deleted */
             varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,vpopbased,mobilav, strstart); /* cptcod not initialized Intel */
             fprintf(ficrest,"# Total life expectancy with std error and decomposition into time to be expected in each health state\n#  (weighted average of eij where weights are ");
             if(vpopbased==1)
               fprintf(ficrest,"the age specific prevalence observed (cross-sectionally) in the population i.e cross-sectionally\n in each health state (popbased=1) (mobilav=%d)\n",mobilav);
             else
               fprintf(ficrest,"the age specific period (stable) prevalences in each health state \n");
             fprintf(ficrest,"# Age e.. (std) ");
             for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
             fprintf(ficrest,"\n");
             /* printf("Which p?\n"); for(i=1;i<=npar;i++)printf("p[i=%d]=%lf,",i,p[i]);printf("\n"); */
             epj=vector(1,nlstate+1);
             for(age=bage; age <=fage ;age++){
               prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k); /*ZZ Is it the correct prevalim */
               if (vpopbased==1) {
                 if(mobilav ==0){
                   for(i=1; i<=nlstate;i++)
                     prlim[i][i]=probs[(int)age][i][k];
                 }else{ /* mobilav */ 
                   for(i=1; i<=nlstate;i++)
                     prlim[i][i]=mobaverage[(int)age][i][k];
                 }
               }
           
               fprintf(ficrest," %4.0f",age);
               /* printf(" age %4.0f ",age); */
               for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
                 for(i=1, epj[j]=0.;i <=nlstate;i++) {
                   epj[j] += prlim[i][i]*eij[i][j][(int)age];
                   /*ZZZ  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
                   /* printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]); */
                 }
                 epj[nlstate+1] +=epj[j];
               }
               /* printf(" age %4.0f \n",age); */
   
               for(i=1, vepp=0.;i <=nlstate;i++)
                 for(j=1;j <=nlstate;j++)
                   vepp += vareij[i][j][(int)age];
               fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
               for(j=1;j <=nlstate;j++){
                 fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
               }
               fprintf(ficrest,"\n");
             }
           }
           free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
           free_vector(epj,1,nlstate+1);
         /*}*/
       }
       free_vector(weight,1,n);
       free_imatrix(Tvard,1,NCOVMAX,1,2);
       free_imatrix(s,1,maxwav+1,1,n);
       free_matrix(anint,1,maxwav,1,n); 
       free_matrix(mint,1,maxwav,1,n);
       free_ivector(cod,1,n);
       free_ivector(tab,1,NCOVMAX);
       fclose(ficresstdeij);
       fclose(ficrescveij);
       fclose(ficresvij);
       fclose(ficrest);
       fclose(ficpar);
     
       /*------- Variance of period (stable) prevalence------*/   
   
       strcpy(fileresvpl,"vpl");
       strcat(fileresvpl,fileres);
       if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
         printf("Problem with variance of period (stable) prevalence  resultfile: %s\n", fileresvpl);
         exit(0);
       }
       printf("Computing Variance-covariance of period (stable) prevalence: file '%s' \n", fileresvpl);
   
       /*for(cptcov=1,k=0;cptcov<=i1;cptcov++){
         for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){*/
             
       for (k=1; k <= (int) pow(2,cptcoveff); k++){
           fprintf(ficresvpl,"\n#****** ");
           for(j=1;j<=cptcoveff;j++) 
             fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtabm(k,j)]);
           fprintf(ficresvpl,"******\n");
         
           varpl=matrix(1,nlstate,(int) bage, (int) fage);
           oldm=oldms;savm=savms;
           varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k,strstart);
           free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
         /*}*/
       }
   
       fclose(ficresvpl);
   
       /*---------- End : free ----------------*/
       if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
     }  /* mle==-3 arrives here for freeing */
    /* endfree:*/
       free_matrix(prlim,1,nlstate,1,nlstate); /*here or after loop ? */
       free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
       free_matrix(covar,0,NCOVMAX,1,n);
       free_matrix(matcov,1,npar,1,npar);
       /*free_vector(delti,1,npar);*/
       free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
       free_matrix(agev,1,maxwav,1,imx);
       free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
   
       free_ivector(ncodemax,1,NCOVMAX);
       free_ivector(ncodemaxwundef,1,NCOVMAX);
       free_ivector(Tvar,1,NCOVMAX);
       free_ivector(Tprod,1,NCOVMAX);
       free_ivector(Tvaraff,1,NCOVMAX);
       free_ivector(Tage,1,NCOVMAX);
   
       free_imatrix(nbcode,0,NCOVMAX,0,NCOVMAX);
       /* free_imatrix(codtab,1,100,1,10); */
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or %d warnings\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     /*(void) gettimeofday(&end_time,&tzp);*/
     rend_time = time(NULL);  
     end_time = *localtime(&rend_time);
     /* tml = *localtime(&end_time.tm_sec); */
     strcpy(strtend,asctime(&end_time));
     printf("Local time at start %s\nLocal time at end   %s",strstart, strtend); 
     fprintf(ficlog,"Local time at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
   
     printf("Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(rend_time -rstart_time,tmpout));
     fprintf(ficlog,"Total time was %.0lf Sec.\n", difftime(rend_time,rstart_time));
     /*  printf("Total time was %d uSec.\n", total_usecs);*/
   /*   if(fileappend(fichtm,optionfilehtm)){ */
     fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtm);
     fprintf(fichtmcov,"<br>Local time at start %s<br>Local time at end   %s<br>\n</body></html>",strstart, strtend);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
   
      printf("Before Current directory %s!\n",pathcd);
   #ifdef WIN32
      if (_chdir(pathcd) != 0)
              printf("Can't move to directory %s!\n",path);
      if(_getcwd(pathcd,MAXLINE) > 0)
   #else
      if(chdir(pathcd) != 0)
              printf("Can't move to directory %s!\n", path);
      if (getcwd(pathcd, MAXLINE) > 0)
   #endif 
       printf("Current directory %s!\n",pathcd);
     /*strcat(plotcmd,CHARSEPARATOR);*/
     sprintf(plotcmd,"gnuplot");
   #ifdef _WIN32
     sprintf(plotcmd,"\"%sgnuplot.exe\"",pathimach);
   #endif
     if(!stat(plotcmd,&info)){
       printf("Error or gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
       if(!stat(getenv("GNUPLOTBIN"),&info)){
         printf("Error or gnuplot program not found: '%s' Environment GNUPLOTBIN not set.\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #ifdef __unix
       strcpy(plotcmd,GNUPLOTPROGRAM);
       if(!stat(plotcmd,&info)){
         printf("Error gnuplot program not found: '%s'\n",plotcmd);fflush(stdout);
       }else
         strcpy(pplotcmd,plotcmd);
   #endif
     }else
       strcpy(pplotcmd,plotcmd);
     
     sprintf(plotcmd,"%s %s",pplotcmd, optionfilegnuplot);
     printf("Starting graphs with: '%s'\n",plotcmd);fflush(stdout);
   
     if((outcmd=system(plotcmd)) != 0){
       printf("gnuplot command might not be in your path: '%s', err=%d\n", plotcmd, outcmd);
       printf("\n Trying if gnuplot resides on the same directory that IMaCh\n");
       sprintf(plotcmd,"%sgnuplot %s", pathimach, optionfilegnuplot);
       if((outcmd=system(plotcmd)) != 0)
         printf("\n Still a problem with gnuplot command %s, err=%d\n", plotcmd, outcmd);
     }
     printf(" Successful, please wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit results with your browser, g to graph again and q for exit: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') {
   #ifdef __APPLE__
         sprintf(pplotcmd, "open %s", optionfilehtm);
   #elif __linux
         sprintf(pplotcmd, "xdg-open %s", optionfilehtm);
   #else
         sprintf(pplotcmd, "%s", optionfilehtm);
   #endif
         printf("Starting browser with: %s",pplotcmd);fflush(stdout);
         system(pplotcmd);
       }
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     end:
     while (z[0] != 'q') {
       printf("\nType  q for exiting: "); fflush(stdout);
       scanf("%s",z);
     }
   }

Removed from v.1.48  
changed lines
  Added in v.1.200


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